Matching: Unit Rates With Fractions #3 | Interactive Worksheet ... - Free Printable

It looks like you've uploaded a worksheet titled "Matching: Unit Rates With Fractions #3", which asks students to match unit rates (expressed as fractions of a quantity per fraction of a minute) with their correct simplified unit rate (in standard units per minute).

Since I can't view images directly, I’ll help you solve this based on the text you’ve provided. Let’s go through each problem step by step and determine the correct matches.

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Understanding the Task

Each item has:
- A quantity (e.g., 5 centimeters) in a fraction of a minute (e.g., ¼ of a minute).
- You must compute the unit rate — how much is covered per minute.
- Then match it to the correct option on the right.

We'll use the formula:

> Unit Rate = (Quantity) ÷ (Time in minutes)

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Let’s solve each one:

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1. ___ centimeters in ¼ of a minute

- We need to find how many cm per minute.
- If 1/4 minute → x cm, then 1 minute → 4x cm.
- So, multiply by 4:
→ $ \frac{1}{4} \text{ min} \Rightarrow x \text{ cm} $
→ $ 1 \text{ min} \Rightarrow 4x \text{ cm} $

But we don’t know the value yet — wait! The blank is for the quantity, so maybe the values are implied?

Wait — looking at the format:

It says:

> 1. ____ centimeters in ¼ of a minute
> a. 10½ centimeters per minute

So the blank is likely where you write the number that makes the rate equal to the choice.

But actually, reading carefully: it says “Find each unit rate. Write the corresponding letter on the line.”

So probably, the left side gives a rate like “5 centimeters in ¼ of a minute”, but in your list, the blanks are empty.

Wait — let's look again.

Actually, in your message, the left side has blanks like:

> 1. ____ centimeters in ¼ of a minute

That suggests the amount is missing. But then how do we match?

Alternatively, perhaps the amounts are implied or missing from your copy.

Wait — no, this seems like a matching exercise where the left column lists incomplete statements, but based on the options, we can infer what they should be.

But without knowing the actual quantities, we can’t proceed.

Wait — perhaps the left side has the actual quantities, but they were not copied properly?

Looking back:

> 1. ____ centimeters in ¼ of a minute
> 2. ____ 5 centimeters in ¼ of a minute
> 3. ____ ¼ of an ounce in ¼ of a minute

Ah! Now I see: It appears there's a formatting issue.

Let me re-parse your input:

```
1. ____ centimeters in ¼ of a minute
2. ____ 5 centimeters in ¼ of a minute
3. ____ ¼ of an ounce in ¼ of a minute
4. ____ 4 centimeters in ¼ of a minute
5. ____ 5 ounces in ¼ of a minute
6. ____ ¼ of a centimeter in ¼ of a minute
7. ____ ¼ of a milliliter in ¼ of a minute
8. ____ ¼ of a milliliter in ¼ of a minute
9. ____ ¼ of an ounce in ¼ of a minute
10. ____ ¼ of a centimeter in ¼ of a minute
11. ____ ¼ of a milliliter in ¼ of a minute
12. ____ ¼ of an ounce in ¼ of a minute
```

Wait — items 7 and 8 are identical? That might be a typo.

Also, items 3, 9, 12 are similar.

And the right side has:

a. 10½ centimeters per minute
b. 15 centimeters per minute
c. 1 centimeters per minute
d. ¼ of an ounce per minute
e. 21 milliliters per minute
f. 21 milliliters per minute ← duplicate?
g. ¼ of a centimeter per minute
h. 21 milliliters per minute ← again?
i. ¼ of a centimeter per minute
j. ¼ of an ounce per minute
k. 6 milliliters per minute
l. 36 ounces per minute

Hmm — duplicates: e, f, h all say "21 milliliters per minute"? Probably a typo.

But let’s assume the left side has the actual scenario, and we need to compute the unit rate and match it.

Let’s go one by one.

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Step-by-step Solutions:

#### 2. 5 centimeters in ¼ of a minute

- In ¼ min → 5 cm
- In 1 min → $ 5 \div \frac{1}{4} = 5 \times 4 = 20 $ cm/min

→ 20 cm/min — not listed? Wait, choices:

a. 10½
b. 15
c. 1
d. ¼ oz/min
e. 21 mL/min
...

No 20? Hmm.

Wait — maybe I misread.

Wait — maybe the blank is for the number, and the rate is given? No.

Wait — the instruction says: “Find each unit rate. Write the corresponding letter on the line.”

So the left side gives a situation (e.g., “5 centimeters in ¼ of a minute”), and we compute the unit rate, then pick the matching letter.

So let’s re-express:

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Solve Each Problem

#### 2. 5 centimeters in ¼ of a minute

- Rate = $ \frac{5}{1/4} = 5 \times 4 = 20 $ cm/min

But none of the options is 20 cm/min.

Wait — options:

a. 10½ cm/min
b. 15 cm/min
c. 1 cm/min
d. ¼ oz/min
e. 21 mL/min
f. 21 mL/min
g. ¼ cm/min
h. 21 mL/min
i. ¼ cm/min
j. ¼ oz/min
k. 6 mL/min
l. 36 oz/min

No 20 cm/min. So either mistake, or I misread.

Wait — maybe item 2 is: “____ 5 centimeters in ¼ of a minute” — meaning the blank is for the answer letter?

But the instruction says: “Write the corresponding letter on the line.” So the blank is for the letter.

So perhaps the left column has the full description, and we need to compute the rate and match to the right.

Let’s list all the left-hand descriptions clearly:

1. ____ centimeters in ¼ of a minute
→ This is incomplete — missing quantity. Can’t solve.

2. ____ 5 centimeters in ¼ of a minute
→ So: 5 cm in ¼ min → rate = 5 / (1/4) = 20 cm/min → not in options.

Wait — unless the number is missing and we’re supposed to fill in the amount?

But the instruction says “find each unit rate”.

Alternatively, perhaps the blanks are for the letters, and the descriptions are complete.

But item 1 is “____ centimeters in ¼ of a minute” — no amount.

This is confusing.

Wait — maybe the numbers are missing due to formatting, but based on the pattern, we can deduce.

Alternatively, perhaps the left side is meant to have the full phrase, but some numbers are missing.

But looking again:

> 1. ____ centimeters in ¼ of a minute
> 2. ____ 5 centimeters in ¼ of a minute
> 3. ____ ¼ of an ounce in ¼ of a minute
> 4. ____ 4 centimeters in ¼ of a minute
> 5. ____ 5 ounces in ¼ of a minute
> 6. ____ ¼ of a centimeter in ¼ of a minute
> 7. ____ ¼ of a milliliter in ¼ of a minute
> 8. ____ ¼ of a milliliter in ¼ of a minute
> 9. ____ ¼ of an ounce in ¼ of a minute
> 10. ____ ¼ of a centimeter in ¼ of a minute
> 11. ____ ¼ of a milliliter in ¼ of a minute
> 12. ____ ¼ of an ounce in ¼ of a minute

Now, notice that items 3, 9, 12 are all “¼ of an ounce in ¼ of a minute”

Similarly, 6, 10 are “¼ of a centimeter in ¼ of a minute”

7, 8, 11 are “¼ of a milliliter in ¼ of a minute”

And 2: 5 cm in ¼ min
4: 4 cm in ¼ min
5: 5 oz in ¼ min

So likely, the blanks are for the letter that matches the computed unit rate.

Let’s compute each:

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Compute Unit Rates

#### 2. 5 centimeters in ¼ of a minute

- Rate = $ 5 \div \frac{1}{4} = 5 \times 4 = 20 $ cm/min → Not in options.

But closest is b. 15 cm/min or a. 10½ — not close.

Wait — maybe it's 10½? How?

Wait — perhaps the quantity is not 5, but something else.

Wait — item 1: “____ centimeters in ¼ of a minute” — maybe the amount is missing, but we’re to match based on the rate?

Alternatively, perhaps the right side has the rates, and the left side has the scenarios, and we match.

But let’s try computing what would give the given rates.

For example:

- a. 10½ cm/min → means 10.5 cm per minute → in ¼ min: $ 10.5 \times \frac{1}{4} = 2.625 $ cm → so “2.625 cm in ¼ min” → but not listed.

- b. 15 cm/min → in ¼ min: 15 × 0.25 = 3.75 cm → “3.75 cm in ¼ min”

- c. 1 cm/min → in ¼ min: 0.25 cm

- d. ¼ oz/min → in ¼ min: $ \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} $ oz

- e. 21 mL/min → in ¼ min: 21 × 0.25 = 5.25 mL

- f. 21 mL/min → same

- g. ¼ cm/min → in ¼ min: $ \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} $ cm

- h. 21 mL/min → same

- i. ¼ cm/min → same as g

- j. ¼ oz/min → same as d

- k. 6 mL/min → in ¼ min: 6 × 0.25 = 1.5 mL

- l. 36 oz/min → in ¼ min: 36 × 0.25 = 9 oz

Now, let’s look at the left side:

#### 2. 5 centimeters in ¼ of a minute

- 5 cm in ¼ min → rate = 5 / (1/4) = 20 cm/min → not listed

But none of the options is 20 cm/min.

Wait — maybe it's not 5 cm?

Wait — perhaps the number is missing, and we're to fill in the letter based on the rate.

But we need to know the amount.

Wait — maybe the left side has the amount, and we compute.

Let’s try item 4: 4 centimeters in ¼ of a minute

- Rate = 4 / (1/4) = 16 cm/min → not in options.

Item 5: 5 ounces in ¼ of a minute

- Rate = 5 / (1/4) = 20 oz/min → not in options.

Item 3: ¼ of an ounce in ¼ of a minute

- Rate = $ \frac{1}{4} \div \frac{1}{4} = 1 $ ounce per minute → so 1 oz/min

But option d is “¼ of an ounce per minute” — not 1.

Option j is “¼ of an ounce per minute” — same.

No “1 ounce per minute”.

But wait — option l is 36 ounces per minute — too big.

Hmm.

Wait — let’s try item 6: ¼ of a centimeter in ¼ of a minute

- Rate = $ \frac{1}{4} \div \frac{1}{4} = 1 $ cm/min

So 1 centimeter per minute

Look at options: c. 1 centimeters per minute → yes!

So 6 → c

Similarly, item 10: ¼ of a centimeter in ¼ of a minute → same as 6 → also 1 cm/min → so 10 → c

But only one c? Probably multiple can have same rate.

But let’s continue.

item 7: ¼ of a milliliter in ¼ of a minute

- Rate = $ \frac{1}{4} \div \frac{1}{4} = 1 $ mL/min

But options: e, f, h are 21 mL/min, k is 6 mL/min — no 1 mL/min.

So not matching.

Wait — unless the right side has errors.

Wait — maybe the rate is per minute, but the left side has in ¼ min, so we divide.

But let’s try item 11: ¼ of a milliliter in ¼ of a minute → same as above → 1 mL/min → not in options.

Unless k is 6 mL/min, e,f,h are 21 — no 1.

Wait — perhaps item 5: 5 ounces in ¼ of a minute

- Rate = 5 / (1/4) = 20 oz/min

Not in options.

item 2: 5 cm in ¼ min → 20 cm/min — not in options.

But option b is 15 cm/min — maybe it's 3.75 cm in ¼ min?

But left side says 5 cm.

Unless the amount is different.

Wait — perhaps the blank is for the number, and the rate is given?

But the instruction says “find each unit rate”.

Another idea: perhaps the left side has the unit rate, and we match to the description?

But that doesn't make sense.

Wait — let’s look at the options:

a. 10½ cm/min
b. 15 cm/min
c. 1 cm/min
d. ¼ oz/min
e. 21 mL/min
f. 21 mL/min
g. ¼ cm/min
h. 21 mL/min
i. ¼ cm/min
j. ¼ oz/min
k. 6 mL/min
l. 36 oz/min

Notice that c. 1 cm/min is present.

And g. ¼ cm/min, i. ¼ cm/min — duplicate.

d. ¼ oz/min, j. ¼ oz/min — duplicate.

e, f, h are all 21 mL/min — probably typo.

Now, let’s suppose that item 6: ¼ cm in ¼ min → rate = 1 cm/min → matches c

Similarly, item 10: same → also c

item 3: ¼ oz in ¼ min → rate = 1 oz/min — but no option for 1 oz/min

item 9: same

item 12: same

But option d and j are “¼ of an ounce per minute” — that’s a rate, not the amount.

Wait — perhaps the left side is the amount and time, and the right side is the unit rate, and we match.

So for item 6: ¼ of a centimeter in ¼ of a minute → rate = 1 cm/min → matches c

For item 10: same → also c

For item 7: ¼ mL in ¼ min → rate = 1 mL/min → but no such option

Unless it's k. 6 mL/min — no.

Wait — unless the amount is larger.

Let’s try item 5: 5 ounces in ¼ of a minute → rate = 20 oz/min

Not in options.

But l. 36 oz/min — if the amount was 9 oz in ¼ min, then 9 / (1/4) = 36 oz/min → so if item 5 was 9 oz, it would match l.

But it says 5 oz.

Wait — perhaps the left side has the unit rate, and we match to the description?

No.

Another possibility: the blanks are for the number, and the right side has the unit rate, and we choose the letter.

But still.

Let’s try item 4: 4 centimeters in ¼ of a minute

- Rate = 4 / (1/4) = 16 cm/min

Closest is b. 15 cm/min or a. 10.5 — not close.

But 15 cm/min would require 15 * 1/4 = 3.75 cm in ¼ min.

So if item 2 was “3.75 cm in ¼ min”, then it would be b.

But it says “5 cm”.

Perhaps there’s a typo in the worksheet.

Alternatively, maybe the time is not ¼ min, but something else.

Wait — another idea: perhaps the unit rate is given on the right, and the left side has the amount in a fraction of a minute, and we need to find which one matches.

For example:

Take a. 10½ cm/min

- In ¼ min: 10.5 * 0.25 = 2.625 cm

So “2.625 cm in ¼ min” → but not listed.

b. 15 cm/min → 15 * 0.25 = 3.75 cm in ¼ min

c. 1 cm/min → 0.25 cm in ¼ min

d. ¼ oz/min → ¼ * 1/4 = 1/16 oz in ¼ min

e. 21 mL/min → 21 * 0.25 = 5.25 mL in ¼ min

k. 6 mL/min → 1.5 mL in ¼ min

Now look at left side:

- item 6: ¼ cm in ¼ min = 0.25 cm → matches c. 1 cm/min (since 0.25 cm in 0.25 min → 1 cm/min)

Yes! So 6 → c

Similarly, item 10: same → also c

- item 7: ¼ mL in ¼ min = 0.25 mL → rate = 1 mL/min — but no option for 1 mL/min

- item 8: same

- item 11: same

- item 3: ¼ oz in ¼ min = 0.25 oz → rate = 1 oz/min — no option

- item 9: same

- item 12: same

- item 2: 5 cm in ¼ min → 5 / 0.25 = 20 cm/min — not in options

- item 4: 4 cm in ¼ min → 16 cm/min — not in options

- item 5: 5 oz in ¼ min → 20 oz/min — not in options

But l. 36 oz/min — requires 9 oz in ¼ min

So unless item 5 is 9 oz, not 5.

Perhaps there’s a typo.

Wait — maybe item 5 is “9 ounces in ¼ of a minute”? Then rate = 36 oz/min → matches l.

Similarly, item 2: if it were “3.75 cm in ¼ min”, then rate = 15 cm/min → matches b.

But as written, it's “5 cm”.

Perhaps the left side has the rate, and we match to the description?

But that doesn't make sense.

Another possibility: the blank is for the number, and the right side has the unit rate, and we choose the letter.

But without knowing the number, we can't.

Given the confusion, let’s assume that the left side has the scenario, and we compute the rate, and match to the best option.

But since most don't match, perhaps there's a typo in the worksheet.

However, let’s focus on the ones that do match.

Correct Matches:

#### 6. ¼ of a centimeter in ¼ of a minute

- Rate = $ \frac{1/4}{1/4} = 1 $ cm/min → matches c. 1 centimeters per minute

#### 10. ¼ of a centimeter in ¼ of a minute → same → also c

#### 7. ¼ of a milliliter in ¼ of a minute

- Rate = 1 mL/min — but no option for 1 mL/min

But k. 6 mL/min — if the amount was 1.5 mL in ¼ min, then 1.5 / 0.25 = 6 mL/min

So if item 7 was “1.5 mL in ¼ min”, it would match k.

But it's “¼ mL” = 0.25 mL

0.25 / 0.25 = 1 mL/min

So not k.

Unless it's e, f, h — 21 mL/min — requires 5.25 mL in ¼ min

So if item 7 was “5.25 mL in ¼ min”, it would match.

But it's not.

So likely, only items 6 and 10 have matching rates.

But there are 12 items.

Perhaps the amount is missing in some.

For example, item 1: “____ centimeters in ¼ of a minute” — maybe it's meant to be filled with a number, but we're to match.

But without more info, it's hard.

Alternatively, perhaps the right side has the amount, and we match.

But no.

Given the information, the only clear match is:

- 6. ¼ of a centimeter in ¼ of a minute → rate = 1 cm/min → c
- 10. ¼ of a centimeter in ¼ of a minute → same → c

- 3. ¼ of an ounce in ¼ of a minute → rate = 1 oz/min — but no option for that.

- 9. ¼ of an ounce in ¼ of a minute → same

- 12. ¼ of an ounce in ¼ of a minute → same

- 7. ¼ of a milliliter in ¼ of a minute → 1 mL/min — no option

- 8. ¼ of a milliliter in ¼ of a minute → same

- 11. ¼ of a milliliter in ¼ of a minute → same

- 2. 5 cm in ¼ min → 20 cm/min — not in options

- 4. 4 cm in ¼ min → 16 cm/min — not in options

- 5. 5 oz in ¼ min → 20 oz/min — not in options

So only two items have matching rates.

But that can't be.

Perhaps the unit rate is given on the right, and we need to find which scenario matches.

For example, a. 10½ cm/min — means 10.5 cm per minute.

In ¼ min: 10.5 * 0.25 = 2.625 cm

So “2.625 cm in ¼ min” — but not listed.

b. 15 cm/min → 3.75 cm in ¼ min

If item 2 was “3.75 cm in ¼ min”, it would match b.

But it's “5 cm”.

Unless “5” is a typo.

Similarly, l. 36 oz/min → 9 oz in ¼ min

So if item 5 was “9 oz in ¼ min”, it would match l.

So likely, there are typos in the worksheet.

But based on what's given, the only correct match is:

Final Answer (based on available data):

- 6. ¼ of a centimeter in ¼ of a minute → c. 1 centimeters per minute
- 10. ¼ of a centimeter in ¼ of a minute → c. 1 centimeters per minute

Others may have typos or missing information.

If you can provide the correct amounts or clarify the worksheet, I can help further.

But based on current data, 6 and 10 both match c.

For the rest, the rates don't align with the options.

Please double-check the worksheet for any typos or missing numbers.