Question

express each ratio as a fraction in simplest form.

1. 15 feet out of 36 feet
2. 5 pounds to 35 pounds
3. 48 rainy days out of 60 days
4. 28 snow days out of 49 days
5. 10 pints to 20 pints
6. 40 cups to 55 cups
7. 10 miles out of 12 miles
8. 28 red bikes out of 40 bikes
9. 18 beetles out of 72 insects
10. 63 gallons to 84 gallons
11. 49 dimes out of 77 coins
12. 12 cakes out of 36 cakes
13. 15 students out of 30 students
14. 3 floors out of 18 floors
15. 36 meters out of 100 meters
16. 14 hats out of 20 accessories
17. 80 scores out of 90 scores
18. 2 sports out of 19 sports
19. 42 cars out of 124 cars
20. 7 messages out of 84 messages

Explanation:

1. 15 feet out of 36 feet

Step1: Write as fraction

$\frac{15}{36}$

Step2: Simplify (GCD 3)

$\frac{15\div3}{36\div3}=\frac{5}{12}$

Step1: Write as fraction

$\frac{5}{35}$

Step2: Simplify (GCD 5)

$\frac{5\div5}{35\div5}=\frac{1}{7}$

Step1: Write as fraction

$\frac{48}{60}$

Step2: Simplify (GCD 12)

$\frac{48\div12}{60\div12}=\frac{4}{5}$

Answer:

$\frac{5}{12}$

2. 5 pounds to 35 pounds