Ratios and Proportions Flashcard

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

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

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the ratio of peaches to apples if there are 10 apples and 15 peaches?

Back

The ratio of peaches to apples is 15:10, which simplifies to 3:2.

Front

If Sam and Megan share 75 Skittles in a ratio of 4:1, how many Skittles does each get?

Back

Sam gets 60 Skittles and Megan gets 15 Skittles.

Front

What is the price per gallon if 4 gallons of gasoline cost $16.80?

Back

The price per gallon is $4.20.

Front

If there are 5 boys and 7 girls, what is the ratio of girls to students?

Back

The ratio of girls to students is 7:12.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.