Ratios & Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

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 find an equivalent ratio?

Back

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

Front

What is the ratio of flour to water if 48 cups of flour are used with 12 pints of water?

Back

The ratio of flour to water is 48:12, which simplifies to 4:1.

Front

If the ratio of soup to pasta is 40:12, what is the equivalent ratio when both are divided by 4?

Back

The equivalent ratio is 10:3.

Front

Which of the following ratios is equivalent to 1:2? (Options: 3:6, 3:8, 4:12, 9:60)

Back

3:6 is equivalent to 1:2.

Front

If a recipe calls for a ratio of 5:4 for sugar to flour, how much sugar is needed for 20 cups of flour?

Back

To find the amount of sugar, set up the ratio: 5/4 = x/20. Solving gives x = 25 cups of sugar.

Front

What is the missing number in the ratio 3:8 if the first number is 6?

Back

The missing number is 16, because 3:8 is equivalent to 6:16.

Front

How can you express the ratio 20:16 in simplest form?

Back

The simplest form of 20:16 is 5:4.

Front

If you have a ratio of 2:5 and you want to find an equivalent ratio with a total of 70 parts, what are the two quantities?

Back

The two quantities are 28 and 42, because 2 + 5 = 7, and (2/7)*70 = 20 and (5/7)*70 = 50.