6.4BD, 6.5A: Proportional Ratios & Rates

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:b.

Front

How do you simplify a ratio?

Back

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

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they express the same relationship between quantities, meaning they can be set equal to each other.

Front

If the ratio of boys to girls is 5:4 and there are 60 girls, how many boys are there?

Back

75 boys.

Front

What is a rate?

Back

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

Front

How do you find a unit rate?

Back

To find a unit rate, divide the numerator by the denominator to express the rate per one unit of the second quantity.

Front

If a window washer cleans 38 windows in 2 hours, how many windows does he clean in 1 hour?

Back

19 windows.

Front

If a recipe calls for 3 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 3:2.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can you determine if two rates are equivalent?

Back

Two rates are equivalent if they simplify to the same unit rate.