To solve this problem, we need to express each ratio as a fraction and then simplify it to its simplest form. Simplifying a fraction means dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD).
Let's go through each one step by step:
1) 18 pounds to 22 pounds
- Fraction: 18/22
- GCD of 18 and 22 is 2.
- Simplified: 18 ÷ 2 / 22 ÷ 2 = 9/11
2) 12 pints to 36 pints
- Fraction: 12/36
- GCD of 12 and 36 is 12.
- Simplified: 12 ÷ 12 / 36 ÷ 12 = 1/3
3) 16 feet out of 18 feet
- Fraction: 16/18
- GCD of 16 and 18 is 2.
- Simplified: 16 ÷ 2 / 18 ÷ 2 = 8/9
4) 25 red bikes out of 60 bikes
- Fraction: 25/60
- GCD of 25 and 60 is 5.
- Simplified: 25 ÷ 5 / 60 ÷ 5 = 5/12
5) 12 pennies to 24 pennies
- Fraction: 12/24
- GCD of 12 and 24 is 12.
- Simplified: 12 ÷ 12 / 24 ÷ 12 = 1/2
6) 9 snow days out of 30 days
- Fraction: 9/30
- GCD of 9 and 30 is 3.
- Simplified: 9 ÷ 3 / 30 ÷ 3 = 3/10
7) 12 blue cars out of 48 cars
- Fraction: 12/48
- GCD of 12 and 48 is 12.
- Simplified: 12 ÷ 12 / 48 ÷ 12 = 1/4
8) 32 quarts to 48 quarts
- Fraction: 32/48
- GCD of 32 and 48 is 16.
- Simplified: 32 ÷ 16 / 48 ÷ 16 = 2/3
9) 6 gallons to 42 gallons
- Fraction: 6/42
- GCD of 6 and 42 is 6.
- Simplified: 6 ÷ 6 / 42 ÷ 6 = 1/7
10) 30 beetles out of 35 insects
- Fraction: 30/35
- GCD of 30 and 35 is 5.
- Simplified: 30 ÷ 5 / 35 ÷ 5 = 6/7
11) 12 cups to 21 cups
- Fraction: 12/21
- GCD of 12 and 21 is 3.
- Simplified: 12 ÷ 3 / 21 ÷ 3 = 4/7
12) 21 dimes to 24 dimes
- Fraction: 21/24
- GCD of 21 and 24 is 3.
- Simplified: 21 ÷ 3 / 24 ÷ 3 = 7/8
13) 10 dimes out of 35 coins
- Fraction: 10/35
- GCD of 10 and 35 is 5.
- Simplified: 10 ÷ 5 / 35 ÷ 5 = 2/7
14) 22 cakes out of 24 cakes
- Fraction: 22/24
- GCD of 22 and 24 is 2.
- Simplified: 22 ÷ 2 / 24 ÷ 2 = 11/12
15) 10 nickels to 18 nickels
- Fraction: 10/18
- GCD of 10 and 18 is 2.
- Simplified: 10 ÷ 2 / 18 ÷ 2 = 5/9
16) 21 inches to 28 inches
- Fraction: 21/28
- GCD of 21 and 28 is 7.
- Simplified: 21 ÷ 7 / 28 ÷ 7 = 3/4
17) 20 points out of 45 points
- Fraction: 20/45
- GCD of 20 and 45 is 5.
- Simplified: 20 ÷ 5 / 45 ÷ 5 = 4/9
18) 7 footballs to 56 footballs
- Fraction: 7/56
- GCD of 7 and 56 is 7.
- Simplified: 7 ÷ 7 / 56 ÷ 7 = 1/8
19) 18 rainy days out of 24 days
- Fraction: 18/24
- GCD of 18 and 24 is 6.
- Simplified: 18 ÷ 6 / 24 ÷ 6 = 3/4
20) 60 miles out of 72 miles
- Fraction: 60/72
- GCD of 60 and 72 is 12.
- Simplified: 60 ÷ 12 / 72 ÷ 12 = 5/6
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
Parent Tip: Review the logic above to help your child master the concept of ratios worksheet grade 6.
