Ratios and Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 2:3), as a fraction (e.g., \(\frac{2}{3}\)), or in words (e.g., '2 to 3').

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is the simplest form of the ratio 32:16?

Back

The simplest form of the ratio 32:16 is 2:1.

Front

If there are 12 boys and 8 girls in a class, what is the ratio of boys to girls?

Back

The ratio of boys to girls is 12:8, which simplifies to 3:2.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the ratio of stars to squares if there are 3 stars and 4 squares?

Back

The ratio of stars to squares is 3:4.

Front

If Enrique needs 4 eggs to make 1 cake, how many eggs does he need for 7 cakes?

Back

Enrique needs 28 eggs to make 7 cakes.

Front

Are the ratios 7:18 and 1:2 equivalent?

Back

No, the ratios 7:18 and 1:2 are not equivalent.