Ratios, Rates, Complex Fractions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a fraction a/b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF) until no further simplification is possible.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour or cost per item.

Front

How do you calculate the cost per item?

Back

To calculate the cost per item, divide the total cost by the number of items.

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions.

Front

How do you convert a complex fraction to a simple fraction?

Back

To convert a complex fraction to a simple fraction, find a common denominator for the fractions in the numerator and denominator, then simplify.

Front

What is the simplest form of the ratio 45 to 30?

Back

The simplest form of the ratio 45 to 30 is 3 to 2.

Front

If you have 4 footballs, 6 baseballs, and 10 golf balls, what is the ratio of baseballs to total balls?

Back

The ratio of baseballs to total balls is 3 to 10.

Front

How do you find miles per gallon?

Back

To find miles per gallon, divide the total miles driven by the total gallons of gas used.

Front

What is the ratio of boys to girls on a soccer team with 45 boys and 30 girls?

Back

The ratio of boys to girls is 3 to 2.