Ratios Introduction — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Continue the ratio table for 4:5: after 4:5 and 8:10 comes 12:15.
Both numbers scale by 3, so 5 times 3 is 15.
2. A tape diagram for 5:3 has a total of 8 equal boxes.
5 boxes plus 3 boxes equals 8 total parts.
3. The ratio 2:8 simplified is 1:4.
2 and 8 share factor 2; dividing gives 1 and 4.
4. As a part-to-whole fraction, the ratio 2:3 becomes 2/5.
2 plus 3 equals 5, the total number of equal parts.
5. The fraction 3/4 written as a percent is 75%.
3 divided by 4 is 0.75, which is 75 percent.
6. The decimal 0.2 written as a percent is 20%.
0.2 times 100 equals 20, so 0.2 equals 20 percent.
7. If the ratio of cats to dogs is 3:7, then dogs make up 7 out of 10 pets.
Out of 10 total pets, 7 of them are dogs in this ratio.
8. A tape diagram with 6 shaded and 9 unshaded shows the ratio 6:9.
The unshaded count of 9 becomes the second number of the ratio.
9. The ratio 1:2 as a decimal of part-to-whole is 0.33.
1 divided by 3 is approximately 0.33 in decimal form.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Ratio 1:4
→ 20% as part-to-whole
20% as part-to-whole
Ratio 3:1
→ 75% as part-to-whole
75% as part-to-whole
Ratio 2:3
→ 40% as part-to-whole
40% as part-to-whole
Ratio 4:4
→ 50% as part-to-whole
50% as part-to-whole
Each ratio's first part divided by total parts gives a percent that matches one option.