Equivalent ratios are equal ratios, just like equivalent fractions. You make them by multiplying both numbers up — or by simplifying both down. Warm up scaling and simplifying fractions and this is the same move.
Answer these 3, then press Show my path. No grade — this just points you to the right level.
1. 1/2 = ?/4 — the missing top number is…?
2. Simplify 4/6 by dividing both by 2:
3. What is 12 ÷ 3?
Two ratios are equivalent if you can get one from the other by multiplying or dividing both numbers by the same value — exactly like equivalent fractions.
Your quick check picks one for you, but you can switch any time:
Level 0 Multiply both numbers by the same value.
A. 1:3 times 2. First number: 1 × 2 = ___?
1 × 2 = 2.
B. Second number: 3 × 2 = ___?
3 × 2 = 6.
C. So 1:3 = …?
Both times 2: 2:6.
Level 1 Simplify by dividing both numbers.
A. Simplify 6:8 by dividing both by 2. First number: 6 ÷ 2 = ___?
6 ÷ 2 = 3.
B. Second number: 8 ÷ 2 = ___?
8 ÷ 2 = 4. So 6:8 = 3:4.
Level 2 Decide if two ratios are equal.
A. Which ratio is equivalent to 3:4?
Multiply both by 3: 3×3=9, 4×3=12 → 9:12.
B. Fill in: 2:5 = 8:?. The first number times 4 gives 8, so 5 × 4 = ___?
2 × 4 = 8, so 5 × 4 = 20.
1. Which ratio is equal to 2:3?
Both times 2: 4:6.
2. Simplify 10:15 by dividing both by 5. The first number becomes 10 ÷ 5 = ___?
10 ÷ 5 = 2 (and 15 ÷ 5 = 3, so 2:3).
You've practiced exactly what Lesson 3-4 uses. Time to dive in.
Start Lesson 3-4 →