Unit Rates Involving Complex Fractions- Math 7

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate from a complex fraction?

Back

To calculate a unit rate from a complex fraction, divide the numerator by the denominator. For example, if a snail moves 3/10 of a meter in 1/12 hour, the unit rate is (3/10) ÷ (1/12) = 3/10 * 12/1 = 36/10 = 3.6 meters per hour.

Front

If Tony is travelling at a rate of 60 miles per hour, how far would he travel in one minute?

Back

1 mile

Front

What is the speed of a snail that can move 3/10 of a meter every 1/12 hour?

Back

3 3/5 meters per hour

Front

What does it mean to simplify a complex fraction?

Back

Simplifying a complex fraction means reducing it to its simplest form, often by finding a common denominator or multiplying by the reciprocal.

Front

What is the simplified form of the complex fraction 9/72?

Back

1/8

Front

When would unit rates be useful?

Back

Unit rates are useful for comparing prices, determining how much you are paid per hour, and dividing food evenly among friends.

Front

In the context of taxes, what is the independent value when Janice paid $0.60 tax on $8.00 spent on earrings?

Back

$8.00 spent on earrings.

Front

What is the formula to find the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

How can you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction where the numerator is the total quantity and the denominator is the number of units, often simplified to show the rate per one unit.