Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second.

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

Front

What does it mean for two ratios to be equivalent?

Back

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

Front

How can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that has the same value when simplified, even though the numbers may be different.

Front

How can 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.

Front

If a ratio is 5:8, what is one equivalent ratio?

Back

One equivalent ratio for 5:8 is 10:16, obtained by multiplying both terms by 2.

Front

What is the ratio of students who prefer tacos to those who prefer pizza if 90 students prefer tacos and the ratio is 3:2?

Back

If 90 students prefer tacos, then 60 students prefer pizza, maintaining the ratio of 3:2.

Front

If there are 7 cucumber plants in a garden planted in a ratio of 4:1 with tomato plants, how many tomato plants are there?

Back

There are 28 tomato plants, calculated by multiplying the number of cucumber plants (7) by 4.

Front

What is the relationship between the ratios 2:3 and 8:12?

Back

The ratios 2:3 and 8:12 are equivalent because 8:12 simplifies to 2:3.