Simplifying Ratios

Front

What is a ratio?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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 a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a fraction to a unit rate?

Back

To convert a fraction to a unit rate, divide the numerator by the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCD of two numbers?

Back

To find the GCD, list the factors of each number and identify the largest common factor.

Front

What is the simplified form of the ratio 4:6?

Back

The simplified form of the ratio 4:6 is 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the simplified form of the ratio 12:16?

Back

The simplified form of the ratio 12:16 is 3:4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a ratio is 25:150, what is its unit rate?

Back

The unit rate of the ratio 25:150 is 1:6.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their GCD.