50+ Fractions worksheets on Quizizz | Free & Printable - Free Printable

Let’s solve each problem one by one, step by step.

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Problem 1: Write the mixed number as an improper fraction — 3 ⁴/

To convert a mixed number to an improper fraction:
- Multiply the whole number (3) by the denominator (9):
3 × 9 = 27
- Add the numerator (4):
27 + 4 = 31
- Keep the same denominator (9)

So, 3 ⁴/₉ = 31/9

✔ Final Answer for #1: 31/9

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Problem 2: Write the mixed number as an improper fraction — 2 ¹/₄

Same steps:
- Whole number (2) × denominator (4) = 8
- Add numerator (1): 8 + 1 = 9
- Denominator stays 4

So, 2 ¹/₄ = 9/4

✔ Final Answer for #2: 9/4

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Problem 3: Write the mixed number as an improper fraction — 2 ³/₅

Steps:
- 2 × 5 = 10
- 10 + 3 = 13
- Denominator is 5

So, 2 ³/₅ = 13/5

✔ Final Answer for #3: 13/5

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Problem 4: Find The Equivalent Fraction — 2/16

We can simplify this fraction by dividing both numerator and denominator by their greatest common factor.

GCF of 2 and 16 is 2.

2 ÷ 2 = 1
16 ÷ 2 = 8

So, 2/16 = 1/8

✔ Final Answer for #4: 1/8

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Problem 5: Which point is 7/8?

Looking at the number line from 0 to 1, it’s divided into 8 equal parts (since we’re dealing with eighths).

Each tick mark represents 1/8.

So:
- Point C is at 1/8
- Point D is at 3/8
- Point E is at 6/8 (which is 3/4)
- Point F is at 7/8 ← This is what we want!

✔ Final Answer for #5: D. Point F

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Problem 6: Write the improper fraction as a mixed number — 22/3

Divide 22 by 3:

3 goes into 22 seven times (because 3×7=21), with a remainder of 1.

So, 22/3 = 7 ¹/₃

Check options:
A. 7³/₄ → no
B. 7²/₃ → no
C. 7¹/₃ → YES
D. 7¹/₄ → no

✔ Final Answer for #6: C. 7¹/₃

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Problem 7: What fraction is represented at point G?

The number line goes from 0 to 1, and there are 4 equal segments marked (including endpoints). So each segment is 1/4.

Point G is at the third mark after 0 → that’s 3/4.

Options:
A. 1/5 → too small
B. 2/3 → not matching divisions
C. 3/4 → matches!
D. 2/1 → way too big

✔ Final Answer for #7: C. 3/4

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Problem 8: Multiply — 4/3 × 15

First, write 15 as a fraction: 15/1

Now multiply straight across:

(4 × 15) / (3 × 1) = 60 / 3

Simplify: 60 ÷ 3 = 20

✔ Final Answer for #8: 20

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Final Answers Summary:

1. 31/9
2. 9/4
3. 13/5
4. 1/8
5. D. Point F
6. C. 7¹/₃
7. C. 3/4
8. 20