Sure! Let’s solve each problem step by step. The task is to
express each ratio as a fraction in simplest form.
To simplify a fraction, we divide both the numerator and denominator by their
greatest common divisor (GCD).
---
1) 18 pounds to 22 pounds
→ Fraction: \( \frac{18}{22} \)
GCD of 18 and 22 is
2
→ \( \frac{18 ÷ 2}{22 ÷ 2} = \frac{9}{11} \)
✔ Answer: \( \frac{9}{11} \)
---
2) 12 pints to 36 pints
→ \( \frac{12}{36} \)
GCD = 12
→ \( \frac{12 ÷ 12}{36 ÷ 12} = \frac{1}{3} \)
✔ Answer: \( \frac{1}{3} \)
---
3) 16 feet out of 18 feet
→ \( \frac{16}{18} \)
GCD = 2
→ \( \frac{16 ÷ 2}{18 ÷ 2} = \frac{8}{9} \)
✔ Answer: \( \frac{8}{9} \)
---
4) 25 red bikes out of 60 bikes
→ \( \frac{25}{60} \)
GCD = 5
→ \( \frac{25 ÷ 5}{60 ÷ 5} = \frac{5}{12} \)
✔ Answer: \( \frac{5}{12} \)
---
5) 12 pennies to 24 pennies
→ \( \frac{12}{24} \)
GCD = 12
→ \( \frac{12 ÷ 12}{24 ÷ 12} = \frac{1}{2} \)
✔ Answer: \( \frac{1}{2} \)
---
6) 9 snow days out of 30 days
→ \( \frac{9}{30} \)
GCD = 3
→ \( \frac{9 ÷ 3}{30 ÷ 3} = \frac{3}{10} \)
✔ Answer: \( \frac{3}{10} \)
---
7) 12 blue cars out of 48 cars
→ \( \frac{12}{48} \)
GCD = 12
→ \( \frac{12 ÷ 12}{48 ÷ 12} = \frac{1}{4} \)
✔ Answer: \( \frac{1}{4} \)
---
8) 32 quarts to 48 quarts
→ \( \frac{32}{48} \)
GCD = 16
→ \( \frac{32 ÷ 16}{48 ÷ 16} = \frac{2}{3} \)
✔ Answer: \( \frac{2}{3} \)
---
9) 6 gallons to 42 gallons
→ \( \frac{6}{42} \)
GCD = 6
→ \( \frac{6 ÷ 6}{42 ÷ 6} = \frac{1}{7} \)
✔ Answer: \( \frac{1}{7} \)
---
10) 30 beetles out of 35 insects
→ \( \frac{30}{35} \)
GCD = 5
→ \( \frac{30 ÷ 5}{35 ÷ 5} = \frac{6}{7} \)
✔ Answer: \( \frac{6}{7} \)
---
11) 12 cups to 21 cups
→ \( \frac{12}{21} \)
GCD = 3
→ \( \frac{12 ÷ 3}{21 ÷ 3} = \frac{4}{7} \)
✔ Answer: \( \frac{4}{7} \)
---
12) 21 dimes to 24 dimes
→ \( \frac{21}{24} \)
GCD = 3
→ \( \frac{21 ÷ 3}{24 ÷ 3} = \frac{7}{8} \)
✔ Answer: \( \frac{7}{8} \)
---
13) 10 dimes out of 35 coins
→ \( \frac{10}{35} \)
GCD = 5
→ \( \frac{10 ÷ 5}{35 ÷ 5} = \frac{2}{7} \)
✔ Answer: \( \frac{2}{7} \)
---
14) 22 cakes out of 24 cakes
→ \( \frac{22}{24} \)
GCD = 2
→ \( \frac{22 ÷ 2}{24 ÷ 2} = \frac{11}{12} \)
✔ Answer: \( \frac{11}{12} \)
---
15) 10 nickels to 18 nickels
→ \( \frac{10}{18} \)
GCD = 2
→ \( \frac{10 ÷ 2}{18 ÷ 2} = \frac{5}{9} \)
✔ Answer: \( \frac{5}{9} \)
---
16) 21 inches to 28 inches
→ \( \frac{21}{28} \)
GCD = 7
→ \( \frac{21 ÷ 7}{28 ÷ 7} = \frac{3}{4} \)
✔ Answer: \( \frac{3}{4} \)
---
17) 20 points out of 45 points
→ \( \frac{20}{45} \)
GCD = 5
→ \( \frac{20 ÷ 5}{45 ÷ 5} = \frac{4}{9} \)
✔ Answer: \( \frac{4}{9} \)
---
18) 7 footballs to 56 fooballs *(probably typo — should be “footballs”)*
→ \( \frac{7}{56} \)
GCD = 7
→ \( \frac{7 ÷ 7}{56 ÷ 7} = \frac{1}{8} \)
✔ Answer: \( \frac{1}{8} \)
---
19) 18 rainy days out of 24 days
→ \( \frac{18}{24} \)
GCD = 6
→ \( \frac{18 ÷ 6}{24 ÷ 6} = \frac{3}{4} \)
✔ Answer: \( \frac{3}{4} \)
---
20) 60 miles out of 72 miles
→ \( \frac{60}{72} \)
GCD = 12
→ \( \frac{60 ÷ 12}{72 ÷ 12} = \frac{5}{6} \)
✔ Answer: \( \frac{5}{6} \)
---
##
✔ Final Answers:
1) \( \frac{9}{11} \)
2) \( \frac{1}{3} \)
3) \( \frac{8}{9} \)
4) \( \frac{5}{12} \)
5) \( \frac{1}{2} \)
6) \( \frac{3}{10} \)
7) \( \frac{1}{4} \)
8) \( \frac{2}{3} \)
9) \( \frac{1}{7} \)
10) \( \frac{6}{7} \)
11) \( \frac{4}{7} \)
12) \( \frac{7}{8} \)
13) \( \frac{2}{7} \)
14) \( \frac{11}{12} \)
15) \( \frac{5}{9} \)
16) \( \frac{3}{4} \)
17) \( \frac{4}{9} \)
18) \( \frac{1}{8} \)
19) \( \frac{3}{4} \)
20) \( \frac{5}{6} \)
Let me know if you’d like this formatted as a worksheet or need explanations for any specific one!
Parent Tip: Review the logic above to help your child master the concept of ratio and proportion printable worksheet.
