Unit Rates with complex Fractions

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or dollars per item.

Front

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

Back

To find a unit rate from a complex fraction, divide the numerator by the denominator to simplify the fraction, then express it as a rate per one unit.

Front

If George finished 1/4 of a level in 1/3 of an hour, how do you calculate the time to complete one level?

Back

To find the time to complete one level, set up the proportion: (1/4 level)/(1/3 hour) = (1 level)/(x hours). Solve for x to find x = 4/3 hours.

Front

What is the unit rate for Paige mowing 1/6 acre in 1/6 hours?

Back

To find the unit rate, divide 1/6 acre by 1/6 hour, which simplifies to 1 acre per hour, or 2/3 acres per hour.

Front

How do you compare two unit rates?

Back

To compare two unit rates, convert both rates to the same unit and then compare the numerical values to determine which is greater.

Front

What is the unit rate for Ricardo swimming 8 3/4 miles in 1 hour?

Back

The unit rate is 8 3/4 miles per hour, which can also be expressed as 8.75 miles per hour.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator.

Front

What is the formula to find the unit rate?

Back

The formula to find the unit rate is: Unit Rate = Total Quantity / Total Time.

Front

If a recipe requires 3/5 of a cup of sugar for 1 batch, how much sugar is needed for 5 batches?

Back

To find the total sugar needed, multiply 3/5 by 5, which equals 3 cups of sugar.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common divisor.