Ratios and Rates worksheet for converting ratios to fractions in simplest form.

Explanation:
We are asked to express each ratio as a fraction in simplest form. That means:

1. Write the ratio as a fraction (first number on top, second on bottom).
2. Reduce the fraction by dividing both numerator and denominator by their greatest common factor (GCF).

Let’s go one by one:

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 = 12 → 12÷12 = 1, 36÷12 = 3 → 1/3

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Double-checking all: all fractions are reduced correctly.

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