Math worksheet for practicing ratios and rates, converting ratios to fractions.

Let’s solve each problem step by step.

We are asked to write each ratio as a fraction in simplest form. That means we write the first number over the second number, then reduce the fraction by dividing both top and bottom by their greatest common factor (GCF).

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1) 18 pounds to 22 pounds → 18/22
GCF of 18 and 22 is 2 → 18÷2 = 9, 22÷2 = 11 → 9/11

2) 12 pints to 36 pints → 12/36
GCF is 12 → 12÷12=1, 36÷12=3 → 1/3

3) 16 feet out of 18 feet → 16/18
GCF is 2 → 16÷2=8, 18÷2=9 → 8/9

4) 25 red bikes out of 60 bikes → 25/60
GCF is 5 → 25÷5=5, 60÷5=12 → 5/12

5) 12 pennies to 24 pennies → 12/24
GCF is 12 → 12÷12=1, 24÷12=2 → 1/2

6) 9 snow days out of 30 days → 9/30
GCF is 3 → 9÷3=3, 30÷3=10 → 3/10

7) 12 blue cars out of 48 cars → 12/48
GCF is 12 → 12÷12=1, 48÷12=4 → 1/4

8) 32 quarts to 48 quarts → 32/48
GCF is 16 → 32÷16=2, 48÷16=3 → 2/3

9) 6 gallons to 42 gallons → 6/42
GCF is 6 → 6÷6=1, 42÷6=7 → 1/7

10) 30 beetles out of 35 insects → 30/35
GCF is 5 → 30÷5=6, 35÷5=7 → 6/7

11) 12 cups to 21 cups → 12/21
GCF is 3 → 12÷3=4, 21÷3=7 → 4/7

12) 21 dimes to 24 dimes → 21/24
GCF is 3 → 21÷3=7, 24÷3=8 → 7/8

13) 10 dimes out of 35 coins → 10/35
GCF is 5 → 10÷5=2, 35÷5=7 → 2/7

14) 22 cakes out of 24 cakes → 22/24
GCF is 2 → 22÷2=11, 24÷2=12 → 11/12

15) 10 nickels to 18 nickels → 10/18
GCF is 2 → 10÷2=5, 18÷2=9 → 5/9

16) 21 inches to 28 inches → 21/28
GCF is 7 → 21÷7=3, 28÷7=4 → 3/4

17) 20 points out of 45 points → 20/45
GCF is 5 → 20÷5=4, 45÷5=9 → 4/9

18) 7 footballs to 56 footballs → 7/56
GCF is 7 → 7÷7=1, 56÷7=8 → 1/8

19) 18 rainy days out of 24 days → 18/24
GCF is 6 → 18÷6=3, 24÷6=4 → 3/4

20) 60 miles out of 72 miles → 60/72
GCF is 12 → 60÷12=5, 72÷12=6 → 5/6

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Final Answer:
1) 9/11
2) 1/3
3) 8/9
4) 5/12
5) 1/2
6) 3/10
7) 1/4
8) 2/3
9) 1/7
10) 6/7
11) 4/7
12) 7/8
13) 2/7
14) 11/12
15) 5/9
16) 3/4
17) 4/9
18) 1/8
19) 3/4
20) 5/6