Ratios and Equivalent Ratio Word Problems

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Tags

CCSS.6.RP.A.3A

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator are different.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

How can you find an equivalent fraction for 2/3?

Back

Multiply both the numerator and denominator by the same non-zero number, e.g., 2/3 = (2*2)/(3*2) = 4/6.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

If Keely swims 12 miles in 3 hours, how far will she swim in 6 hours?

Back

24 miles (because the ratio of distance to time remains constant).

Tags

CCSS.6.RP.A.3B

Front

What is the simplified form of the ratio 35:14?

Back

5:2 (by dividing both terms by 7).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Which of the following is NOT an equivalent fraction to 1/2? 2/4, 2/3, 4/8, 3/6

Back

2/3 (it does not represent the same value as 1/2).

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

How do you create an equivalent fraction?

Back

Multiply or divide both the numerator and denominator of a fraction by the same non-zero number.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

What is the first step in solving a ratio word problem?

Back

Identify the quantities being compared and the relationship between them.