Match shaded clock faces to the correct time and fraction equivalents on a math worksheet.

Let's solve the "Clock Fractions" matching task step by step.

We are given a list of time durations in minutes (left column), clock faces with shaded portions (middle), and fractions of an hour (right column). Our goal is to match each clock face to its corresponding time (in minutes) and fraction of an hour.

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🔹 Step 1: Understand the Basics

- 1 hour = 60 minutes
- So, a fraction of an hour can be converted to minutes by multiplying by 60.
- For example:
- $ \frac{1}{2} $ hour = $ 30 $ minutes
- $ \frac{1}{4} $ hour = $ 15 $ minutes
- $ \frac{3}{4} $ hour = $ 45 $ minutes
- etc.

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🔹 Step 2: Analyze Each Clock

Let’s go through each clock from top to bottom and determine:

1. What portion of the clock is shaded?
2. How many minutes does that represent?
3. What fraction of an hour is it?

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#### 1. First Clock (Top)
- Shaded: Half of the clock
- Time: 30 minutes
- Fraction: $ \frac{1}{2} $ hour
✔ Match: 30 Minutes → $ \frac{1}{2} $ Hour

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#### 2. Second Clock
- Shaded: One quarter (90°)
- Time: 15 minutes
- Fraction: $ \frac{1}{4} $ hour
✔ Match: 15 Minutes → $ \frac{1}{4} $ Hour

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#### 3. Third Clock
- Shaded: Three-quarters of the clock
- Time: 45 minutes
- Fraction: $ \frac{3}{4} $ hour
✔ Match: 45 Minutes → $ \frac{3}{4} $ Hour

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#### 4. Fourth Clock
- Shaded: One-sixth of the clock
- Time: 10 minutes (since $ \frac{1}{6} \times 60 = 10 $)
- Fraction: $ \frac{1}{6} $ hour
✔ Match: 10 Minutes → $ \frac{1}{6} $ Hour

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#### 5. Fifth Clock
- Shaded: Two-thirds of the clock
- Time: $ \frac{2}{3} \times 60 = 40 $ minutes
- Fraction: $ \frac{2}{3} $ hour
✔ Match: 40 Minutes → $ \frac{2}{3} $ Hour

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#### 6. Sixth Clock
- Shaded: One-third of the clock
- Time: $ \frac{1}{3} \times 60 = 20 $ minutes
- Fraction: $ \frac{1}{3} $ hour
✔ Match: 20 Minutes → $ \frac{1}{3} $ Hour

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#### 7. Seventh Clock
- Shaded: One-fiftieth of the clock? Wait — this seems very small.
- But look: It says "1 Minute", and the shaded portion is just a tiny sliver.
- Since $ \frac{1}{60} $ hour = 1 minute
- So, 1 Minute → $ \frac{1}{60} $ Hour
✔ Match: 1 Minute → $ \frac{1}{60} $ Hour

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#### 8. Eighth Clock
- Shaded: Almost full, but missing a small slice.
- The label says "50 Minutes"
- $ \frac{50}{60} = \frac{5}{6} $
- So, $ \frac{5}{6} $ hour = 50 minutes
✔ Match: 50 Minutes → $ \frac{5}{6} $ Hour

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🔹 Final Matching Table

| Minutes | Clock | Fraction |
|--------|-------|----------|
| 30 | ✔ Half shaded | $ \frac{1}{2} $ hour |
| 15 | ✔ Quarter shaded | $ \frac{1}{4} $ hour |
| 60 | ✔ Full circle | $ 1 $ hour |
| 45 | ✔ Three-quarters shaded | $ \frac{3}{4} $ hour |
| 20 | ✔ One-third shaded | $ \frac{1}{3} $ hour |
| 40 | ✔ Two-thirds shaded | $ \frac{2}{3} $ hour |
| 10 | ✔ Small slice (1/6) | $ \frac{1}{6} $ hour |
| 1 | ✔ Tiny sliver | $ \frac{1}{60} $ hour |
| 50 | ✔ Five-sixths shaded | $ \frac{5}{6} $ hour |

Wait — we have 9 entries on the left side, but only 8 clocks shown. Let's double-check.

Looking at the image layout:

- Left Column: 9 items:
1. 30 Minutes
2. 15 Minutes
3. 60 Minutes
4. 45 Minutes
5. 20 Minutes
6. 40 Minutes
7. 10 Minutes
8. 50 Minutes
9. 1 Minute

- Middle Column: 8 clocks (one per row)

But 60 Minutes is listed but not matched to a clock? Wait — let’s re-express.

Actually, looking again:

There are 8 clocks, and 9 time labels? That can’t be right.

Wait — perhaps "60 Minutes" corresponds to the full clock (all shaded)? But there is no clock showing full shading.

Let’s count:

1. 30 min → half shaded → $ \frac{1}{2} $ → ✔️
2. 15 min → quarter → $ \frac{1}{4} $ → ✔️
3. 60 min → ??? → but there’s a clock that’s fully shaded? Not shown.

Wait — actually, let’s re-express the clocks.

From the image description:

The clocks (from top to bottom):

1. Half shaded → 30 min → $ \frac{1}{2} $
2. Quarter shaded → 15 min → $ \frac{1}{4} $
3. Three-quarters shaded → 45 min → $ \frac{3}{4} $
4. One-sixth shaded → 10 min → $ \frac{1}{6} $
5. Two-thirds shaded → 40 min → $ \frac{2}{3} $
6. One-third shaded → 20 min → $ \frac{1}{3} $
7. One-sixtieth → 1 min → $ \frac{1}{60} $
8. Five-sixths shaded → 50 min → $ \frac{5}{6} $

Now, the left column has:

- 30 min
- 15 min
- 60 min ← this one is not matched yet
- 45 min
- 20 min
- 40 min
- 10 min
- 50 min
- 1 min

So 60 minutes is listed but no clock shows full shading?

But wait — maybe the third clock (45 min) is labeled as "60 Minutes"? No — that doesn't make sense.

Wait — perhaps the clocks are not in order? Or maybe "60 Minutes" is supposed to match "1 Hour"?

Ah! Yes!

Let’s look at the fraction list on the right:

- $ \frac{1}{2} $ hour
- 1 hour
- $ \frac{3}{4} $ hour
- $ \frac{1}{4} $ hour
- $ \frac{1}{6} $ hour
- $ \frac{2}{3} $ hour
- $ \frac{1}{3} $ hour
- $ \frac{1}{60} $ hour
- $ \frac{5}{6} $ hour

That’s 9 fractions.

And the left column has 9 times.

So likely, each clock corresponds to one time and one fraction.

But only 8 clocks are shown? That can't be.

Wait — actually, the user said: “Match each shaded clock to a time (left) and a fraction (right)”

So probably, there are 8 clocks, and 9 options? That would be inconsistent.

Wait — let’s recheck the original image.

Given the text:

> Match each shaded clock to a time (left) and a fraction (right)

Then:

Left column:
- 30 Minutes
- 15 Minutes
- 60 Minutes
- 45 Minutes
- 20 Minutes
- 40 Minutes
- 10 Minutes
- 50 Minutes
- 1 Minute

(9 items)

Middle column: 8 clocks

Right column:
- 1/2 Hour
- 1 Hour
- 3/4 Hour
- 1/4 Hour
- 1/6 Hour
- 2/3 Hour
- 1/3 Hour
- 1/60 Hour
- 5/6 Hour

(9 fractions)

So 9 times, 9 fractions, but only 8 clocks?

That suggests one entry might be missing or miscounted.

Wait — maybe “60 Minutes” is meant to match the full clock, but none of the clocks show full shading?

Alternatively, perhaps the third clock is supposed to be 60 minutes, but it's shaded three-quarters?

No — that would be 45 minutes.

Wait — unless the clocks are not in order.

Let’s assume the clocks are listed vertically, and we must match each clock to the correct time and fraction.

So let’s list the clocks in order (top to bottom):

1. Clock 1: Half shaded → 30 min → $ \frac{1}{2} $ hour
2. Clock 2: Quarter shaded → 15 min → $ \frac{1}{4} $ hour
3. Clock 3: Three-quarters shaded → 45 min → $ \frac{3}{4} $ hour
4. Clock 4: One-sixth shaded → 10 min → $ \frac{1}{6} $ hour
5. Clock 5: Two-thirds shaded → 40 min → $ \frac{2}{3} $ hour
6. Clock 6: One-third shaded → 20 min → $ \frac{1}{3} $ hour
7. Clock 7: Tiny sliver → 1 min → $ \frac{1}{60} $ hour
8. Clock 8: Five-sixths shaded → 50 min → $ \frac{5}{6} $ hour

Now, the left column includes:

- 30 min → matches Clock 1
- 15 min → Clock 2
- 60 min → ??? → no clock shows full shading
- 45 min → Clock 3
- 20 min → Clock 6
- 40 min → Clock 5
- 10 min → Clock 4
- 50 min → Clock 8
- 1 min → Clock 7

So 60 minutes is not matched to any clock.

But "1 Hour" is in the right column.

So likely, there should be a clock showing full shading for 60 minutes.

But it’s missing.

Wait — unless one of the clocks is fully shaded?

Looking back: Clock 3 is three-quarters shaded, not full.

Unless the last clock is meant to be full? But it's five-sixths.

Hmm.

Wait — maybe the list of times is not in order? And we need to match the clocks to the correct time and fraction, regardless of position.

So let’s do this:

✔ Final Answer: Match Each Clock to Time and Fraction

We'll go by clocks (top to bottom):

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1. Half shaded → 30 minutes → $ \frac{1}{2} $ hour
→ Match: 30 Minutes, $ \frac{1}{2} $ Hour

2. Quarter shaded → 15 minutes → $ \frac{1}{4} $ hour
→ Match: 15 Minutes, $ \frac{1}{4} $ Hour

3. Three-quarters shaded → 45 minutes → $ \frac{3}{4} $ hour
→ Match: 45 Minutes, $ \frac{3}{4} $ Hour

4. One-sixth shaded → 10 minutes → $ \frac{1}{6} $ hour
→ Match: 10 Minutes, $ \frac{1}{6} $ Hour

5. Two-thirds shaded → 40 minutes → $ \frac{2}{3} $ hour
→ Match: 40 Minutes, $ \frac{2}{3} $ Hour

6. One-third shaded → 20 minutes → $ \frac{1}{3} $ hour
→ Match: 20 Minutes, $ \frac{1}{3} $ Hour

7. Tiny sliver → 1 minute → $ \frac{1}{60} $ hour
→ Match: 1 Minute, $ \frac{1}{60} $ Hour

8. Five-sixths shaded → 50 minutes → $ \frac{5}{6} $ hour
→ Match: 50 Minutes, $ \frac{5}{6} $ Hour

Now, what about 60 Minutes and 1 Hour?

They are both listed, but no clock shows full shading.

This suggests either:

- There is a mistake in the image (missing a full clock)
- Or "60 Minutes" is meant to be matched with "1 Hour", even if no clock is shown

But since the instruction says "match each shaded clock", and there are 8 clocks, and 9 items on left and right, likely "60 Minutes" and "1 Hour" are intended to be matched together, but no clock is provided.

Wait — unless one of the clocks is fully shaded?

Let’s re-express the clocks:

Is there a clock that is completely shaded?

Looking at the description:

- Clock 1: half
- Clock 2: quarter
- Clock 3: three-quarters
- Clock 4: one-sixth
- Clock 5: two-thirds
- Clock 6: one-third
- Clock 7: tiny
- Clock 8: five-sixths

None are fully shaded.

So 60 minutes and 1 hour cannot be matched to any clock.

But they are listed.

Possibility: The problem has a typo, or "60 Minutes" is not meant to be used, or "1 Hour" is the answer for 60 minutes, but no clock.

But the instruction says: "Match each shaded clock"

So only 8 clocks → only 8 matches.

Therefore, one of the time/fraction pairs is extra.

Likely, "60 Minutes" and "1 Hour" are meant to be matched, but no clock is shown.

Alternatively, "60 Minutes" is a red herring, or perhaps the first clock is meant to be 60 minutes? But it's half shaded.

Wait — unless "60 Minutes" is not associated with a clock? But the list includes it.

Another idea: Maybe the clocks are not in order, and "60 Minutes" is matched to a clock that is fully shaded, but it's not drawn.

But based on the image description, it seems all clocks are partially shaded.

Wait — unless "60 Minutes" is not meant to be matched to a clock? But the task says "match each shaded clock".

So we must match only the clocks to the times and fractions.

Thus, we ignore "60 Minutes" and "1 Hour" if no clock matches them.

But that seems odd.

Wait — perhaps the second clock is 15 minutes, but the third clock is 60 minutes? No, it's three-quarters.

Alternatively, maybe the "60 Minutes" line is misplaced.

Wait — let’s count the clocks again.

In the image:

- There are 8 clocks shown.
- Left column has 9 times.
- Right column has 9 fractions.

But only 8 clocks.

So likely, "60 Minutes" and "1 Hour" are intended to be matched, but no clock is provided.

But then how?

Wait — perhaps "60 Minutes" is not a time for a shaded clock, but rather a label for the full hour.

But there's no clock showing full shading.

Wait — unless one of the clocks is fully shaded?

Let’s check the eighth clock: five-sixths shaded → 50 minutes.

Not full.

Maybe the first clock is full? No, it’s half.

Alternatively, maybe the problem has a typo, and "60 Minutes" should be "30 Minutes"? But 30 is already there.

Wait — perhaps the "60 Minutes" line is meant to be "1 Hour", and "1 Hour" is the fraction.

But still, no clock.

I think the most plausible explanation is that "60 Minutes" and "1 Hour" are meant to be matched, but no clock is shown, so perhaps the student is expected to know that 60 minutes = 1 hour, and that’s the only pair without a visual.

But the task says "match each shaded clock", so only 8 clocks should be matched.

Therefore, the correct approach is:

✔ Final Matching (based on 8 clocks):

| Clock | Shaded Portion | Minutes | Fraction |
|-------|----------------|---------|----------|
| 1 | 1/2 | 30 | 1/2 |
| 2 | 1/4 | 15 | 1/4 |
| 3 | 3/4 | 45 | 3/4 |
| 4 | 1/6 | 10 | 1/6 |
| 5 | 2/3 | 40 | 2/3 |
| 6 | 1/3 | 20 | 1/3 |
| 7 | 1/60 | 1 | 1/60 |
| 8 | 5/6 | 50 | 5/6 |

So the matches are:

- 30 Minutes ↔ $ \frac{1}{2} $ Hour
- 15 Minutes ↔ $ \frac{1}{4} $ Hour
- 45 Minutes ↔ $ \frac{3}{4} $ Hour
- 10 Minutes ↔ $ \frac{1}{6} $ Hour
- 40 Minutes ↔ $ \frac{2}{3} $ Hour
- 20 Minutes ↔ $ \frac{1}{3} $ Hour
- 1 Minute ↔ $ \frac{1}{60} $ Hour
- 50 Minutes ↔ $ \frac{5}{6} $ Hour

And 60 Minutes ↔ 1 Hour — but no clock is shown for this, so it may be a bonus or error.

But since the problem lists it, perhaps it's implied that 1 hour = 60 minutes, and it's the only one not needing a visual.

✔ Final Answer:

Match each clock to the correct time and fraction:

- 30 Minutes → $ \frac{1}{2} $ Hour
- 15 Minutes → $ \frac{1}{4} $ Hour
- 45 Minutes → $ \frac{3}{4} $ Hour
- 10 Minutes → $ \frac{1}{6} $ Hour
- 40 Minutes → $ \frac{2}{3} $ Hour
- 20 Minutes → $ \frac{1}{3} $ Hour
- 1 Minute → $ \frac{1}{60} $ Hour
- 50 Minutes → $ \frac{5}{6} $ Hour
- 60 Minutes → 1 Hour (no clock shown, but logically correct)

If only 8 clocks are present, then 60 Minutes and 1 Hour are the only unmatched pair, but they are equal by definition.

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📌 Conclusion:

The solution is to match each clock's shaded portion to its equivalent time and fraction:

| Time | Fraction |
|-------------|----------------|
| 30 min | $ \frac{1}{2} $ |
| 15 min | $ \frac{1}{4} $ |
| 45 min | $ \frac{3}{4} $ |
| 10 min | $ \frac{1}{6} $ |
| 40 min | $ \frac{2}{3} $ |
| 20 min | $ \frac{1}{3} $ |
| 1 min | $ \frac{1}{60} $ |
| 50 min | $ \frac{5}{6} $ |
| 60 min | 1 hour |

Even though no clock is fully shaded, 60 minutes = 1 hour is a standard conversion.

✔ So the final matching is complete.