Ratios and 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

What is a rate?

Back

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

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

If 4 out of every 5 seeds grow, what is the ratio of seeds that grow to seeds that do not grow?

Back

The ratio is 4 to 1.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total amount by the number of units. For example, if 15 hamburgers cost $75, the unit rate is $75 ÷ 15 = $5 per hamburger.

Front

What is the unit rate of 4 bars of soap for $5?

Back

The unit rate is $5 ÷ 4 = $1.25 per bar of soap.

Front

If it takes 7 hours to mow 4 lawns, how many lawns can be mowed in 1 hour?

Back

You can mow 4 lawns ÷ 7 hours = approximately 0.57 lawns per hour.

Front

What is the ratio of basketballs to students in Daniel's gym class?

Back

The ratio is 1 to 5.

Front

If Madi plants 40 seeds and 4 out of 5 grow, how many seeds will grow?

Back

32 seeds will grow.

Front

If Livy buys 8 bars of soap at the rate of 4 bars for $5, how much will she pay?

Back

She will pay $10.