Equivalent ratios
Name: _____________________ Date: __________
Show your thinking with numbers, words, or a drawing.
1. Fill in the missing number so the ratios are equal: 4:4 = 12:?
2. Fill in the missing number so the ratios are equal: 4:5 = 8:?
3. Fill in the missing number so the ratios are equal: 4:3 = 12:?
4. Fill in the missing number so the ratios are equal: 3:6 = 9:?
5. Fill in the missing number so the ratios are equal: 2:3 = 6:?
Answer key · Equivalent ratios
1. 12
The first term goes from 4 to 12, which is × 3.
Scale the second term by the same 3: 4 × 3 = 12.
So 4:4 = 12:12.
2. 10
The first term goes from 4 to 8, which is × 2.
Scale the second term by the same 2: 5 × 2 = 10.
So 4:5 = 8:10.
3. 9
The first term goes from 4 to 12, which is × 3.
Scale the second term by the same 3: 3 × 3 = 9.
So 4:3 = 12:9.
4. 18
The first term goes from 3 to 9, which is × 3.
Scale the second term by the same 3: 6 × 3 = 18.
So 3:6 = 9:18.
5. 9
The first term goes from 2 to 6, which is × 3.
Scale the second term by the same 3: 3 × 3 = 9.
So 2:3 = 6:9.
Try it together
Choose a question from the printable. Use objects or a drawing to show your thinking, then explain your method to someone at home.