Equivalent Ratios

Front

What is a ratio?

Back

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

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 the ratio of boys to total students if there are 8 boys and 14 girls?

Back

The ratio of boys to total students is 8 : (8 + 14) = 8 : 22.

Front

Are the ratios 2:3 and 8:12 equivalent?

Back

Yes, they are equivalent because 2/3 = 8/12 when simplified.

Front

What is one equivalent ratio for 15 : 30 using division?

Back

5 : 10, because both 15 and 30 can be divided by 3.

Front

Are the ratios 3:4 and 6:12 equivalent?

Back

No, they are not equivalent because 3/4 does not equal 6/12 when simplified.

Front

How can you find an equivalent ratio using multiplication?

Back

You can multiply both terms of the ratio by the same non-zero number to find an equivalent ratio.

Front

What is one equivalent ratio for 5 : 8 using multiplication?

Back

15 : 24, because 5 multiplied by 3 is 15 and 8 multiplied by 3 is 24.

Front

If a ratio is 4:5, what is an equivalent ratio if both terms are multiplied by 2?

Back

8:10, because 4 multiplied by 2 is 8 and 5 multiplied by 2 is 10.

Front

What is the total number of students if there are 8 boys and 14 girls?

Back

The total number of students is 8 + 14 = 22.