Comparing Ratios Worksheets

How to solve it: a worked example

Compare the ratios. Write <, > or =.

1. StartDrink A is made with $1$ scoops of mix for every $16$ cups of water. Drink B uses $3$ scoops for every $8$ cups. Which drink is stronger?
2. Write each ratio as a fraction$1$ : $16$ $=$ $\frac{1}{16},$ $3$ : $8$ $=$ $\frac{3}{8}$
3. Use the common denominator 16$\frac{1}{16}$ $<$ $\frac{6}{16}$
4. The greater ratio is the stronger drink$1$ : $16$ $<$ $3$ : $8$
5. AnswerB

Common mistakes to watch for

• Comparing only the first terms when the second terms are different.
• Adding the same number to both terms instead of multiplying to make the second terms match.
• Putting the second term on top when writing the ratio as a fraction.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.