Ratios and Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a relationship between 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

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 ratio?

Back

Equivalent ratios are ratios that express the same relationship between numbers, even if the numbers themselves are different.

Tags

CCSS.6.RP.A.3A

Front

If a recipe calls for a ratio of 2:1 for flour to sugar, how much sugar is needed for 4 cups of flour?

Back

For 4 cups of flour, you need 2 cups of sugar (4 cups flour / 2 = 2 cups sugar).

Front

How do you find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion and solve for the unknown value.

Front

What is the ratio of vowels to consonants in the English alphabet?

Back

The ratio of vowels (5) to consonants (21) in the English alphabet is 5:21.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can ratios be represented visually?

Back

Ratios can be represented visually using models such as pie charts, bar graphs, or tables.

Tags

CCSS.7.RP.A.2C

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first term by the sum of both terms and multiply by 100.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A