Equivalent Ratios Flashcard (Week 1)

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?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio of 2:3, you can multiply both terms by 2 to get 4:6.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in different forms, such as a fraction, with a colon, or with the word 'to'.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common factor (GCF). For example, the ratio 8:12 can be simplified to 2:3 by dividing both terms by 4.

Front

What is the ratio of 10 soccer players to 3 coaches?

Back

The ratio of 10 soccer players to 3 coaches is 10:3.

Front

If the ratio of red to blue Jolly Ranchers is 5:3 and there are 20 red Jolly Ranchers, how many blue Jolly Ranchers are there?

Back

There are 12 blue Jolly Ranchers.

Front

What does a double number line represent?

Back

A double number line is a visual representation that shows two sets of numbers and their relationships, often used to illustrate equivalent ratios.

Front

If you make 6 loaves of bread and use 9 cups of raisins, what is the ratio of loaves to cups of raisins?

Back

The ratio of loaves to cups of raisins is 6:9, which simplifies to 2:3.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator. For example, the ratio 3:4 can be expressed as the fraction 3/4.

Front

How can you use a ratio table?

Back

A ratio table is used to organize equivalent ratios and can help in solving problems involving proportional relationships.