Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you find an equivalent ratio using multiplication?

Back

To find an equivalent ratio using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 5:8, multiplying both by 2 gives 10:16.

Front

What is the ratio of 4:12 simplified?

Back

The ratio 4:12 simplified is 1:3.

Front

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

Back

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

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

To find the amount of sugar needed, set up the ratio: 2/3 = x/6. Solving gives x = 4 cups of sugar.

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios have the same value when simplified, meaning they represent the same proportion of two quantities.

Front

If 90 students prefer tacos to pizza in a ratio of 3:2, how many prefer pizza?

Back

60 students prefer pizza.

Front

Mason caught 14 catfish. If he hooks 1 bass for every 2 catfish, how many bass did he catch?

Back

Mason caught 7 bass.

Front

What is the first step to determine if two ratios are equivalent?

Back

The first step is to cross-multiply the ratios and compare the products.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its smallest form by dividing both terms by their greatest common divisor.