Unit Rates with Fractions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

How do you calculate a unit rate with fractions?

Back

To calculate a unit rate with fractions, divide the first quantity (numerator) by the second quantity (denominator) and simplify the result.

Front

What is the formula to find speed?

Back

Speed = Distance / Time.

Front

If a novelist writes 2 ¼ pages in 3/5 of an hour, how do you find her speed in pages per hour?

Back

Convert 2 ¼ to an improper fraction (9/4), then divide by 3/5: (9/4) ÷ (3/5) = (9/4) * (5/3) = 15/4 pages per hour.

Front

How do you convert mixed numbers to improper fractions?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is the relationship between distance, speed, and time?

Back

Distance = Speed × Time.

Front

If Lauren bikes 4/3 miles in 1/10 hour, how do you find the time to bike one mile?

Back

First, find the speed: (4/3) ÷ (1/10) = (4/3) * (10/1) = 40/3 miles per hour. Then, use the formula: Time = Distance / Speed = 1 / (40/3) = 3/40 hours.

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.

Front

How do you find the time it takes to walk one mile if a turtle takes 3 ¼ hours to walk 1 ½ miles?

Back

Convert 3 ¼ to an improper fraction (13/4) and 1 ½ to (3/2). Then, use the formula: Time = (13/4) ÷ (3/2) = (13/4) * (2/3) = 13/6 hours.

Front

What is the importance of unit rates in real-life situations?

Back

Unit rates help compare different quantities and make informed decisions, such as determining the best price per item or speed of travel.