Question

find the equivalent ratio of each given problem. put a ✓mark in the box of your chosen answer.
1:2
☑ 4:8
□ 3:5
□ 9:12
2:3
□ 4:9
□ 8:12
□ 6:12
1:4
□ 5:10
□ 4:16
□ 3:16
3:5
□ 3:12
□ 6:16
□ 9:15
4:3
□ 8:6
□ 12:3
□ 6:5
2:6
□ 4:8
□ 6:10
□ 1:3
1:3
□ 4:12
□ 3:8
□ 5:18
2:5
□ 5:15
□ 4:16
□ 4:10
3:4
□ 6:18
□ 9:12
□ 12:15
2:4
□ 4:6
□ 3:8
□ 1:2
1:5
□ 5:20
□ 3:15
□ 4:16
4:8
□ 6:10
□ 5:10
□ 7:21

Explanation:

Step1: Simplify ratios to check equivalence

Equivalent ratios simplify to the same fraction.

Step2: Verify each given ratio pair

For each top ratio, reduce options to lowest terms.

For 1:2 (already correct: 4:8)

$\frac{4}{8}=\frac{1}{2}$, $\frac{3}{5}
eq\frac{1}{2}$, $\frac{9}{12}=\frac{3}{4}
eq\frac{1}{2}$

For 2:3

$\frac{4}{9}
eq\frac{2}{3}$, $\frac{8}{12}=\frac{2}{3}$, $\frac{6}{12}=\frac{1}{2}
eq\frac{2}{3}$

For 1:4

$\frac{5}{10}=\frac{1}{2}
eq\frac{1}{4}$, $\frac{4}{16}=\frac{1}{4}$, $\frac{3}{16}
eq\frac{1}{4}$

For 3:5

$\frac{3}{12}=\frac{1}{4}
eq\frac{3}{5}$, $\frac{6}{16}=\frac{3}{8}
eq\frac{3}{5}$, $\frac{9}{15}=\frac{3}{5}$

For 4:3

$\frac{8}{6}=\frac{4}{3}$, $\frac{12}{3}=4
eq\frac{4}{3}$, $\frac{6}{5}
eq\frac{4}{3}$

For 2:6

$\frac{4}{8}=\frac{1}{2}
eq\frac{1}{3}$, $\frac{6}{10}=\frac{3}{5}
eq\frac{1}{3}$, $\frac{1}{3}=\frac{2}{6}$

For 1:3

$\frac{4}{12}=\frac{1}{3}$, $\frac{3}{8}
eq\frac{1}{3}$, $\frac{5}{18}
eq\frac{1}{3}$

For 2:5

$\frac{5}{15}=\frac{1}{3}
eq\frac{2}{5}$, $\frac{4}{16}=\frac{1}{4}
eq\frac{2}{5}$, $\frac{4}{10}=\frac{2}{5}$

For 3:4

$\frac{6}{18}=\frac{1}{3}
eq\frac{3}{4}$, $\frac{9}{12}=\frac{3}{4}$, $\frac{12}{15}=\frac{4}{5}
eq\frac{3}{4}$

For 2:4

$\frac{4}{6}=\frac{2}{3}
eq\frac{1}{2}$, $\frac{3}{8}
eq\frac{1}{2}$, $\frac{1}{2}=\frac{2}{4}$

For 1:5

$\frac{5}{20}=\frac{1}{4}
eq\frac{1}{5}$, $\frac{3}{15}=\frac{1}{5}$, $\frac{4}{16}=\frac{1}{4}
eq\frac{1}{5}$

For 4:8

$\frac{6}{10}=\frac{3}{5}
eq\frac{1}{2}$, $\frac{5}{10}=\frac{1}{2}=\frac{4}{8}$, $\frac{7}{21}=\frac{1}{3}
eq\frac{1}{2}$

Answer:

• 1:2: ✔ 4:8
• 2:3: ✔ 8:12
• 1:4: ✔ 4:16
• 3:5: ✔ 9:15
• 4:3: ✔ 8:6
• 2:6: ✔ 1:3
• 1:3: ✔ 4:12
• 2:5: ✔ 4:10
• 3:4: ✔ 9:12
• 2:4: ✔ 1:2
• 1:5: ✔ 3:15
• 4:8: ✔ 5:10