Unit Rates with Complex Fractions

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 quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 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. For example, 4 6/7 = (4*7 + 6)/7 = 34/7.

Front

What is the formula to calculate speed?

Back

Speed = Distance / Time. This formula helps determine how fast an object is moving.

Front

If Joe runs 3 2/5 miles in 7/8 of an hour, how do you find his speed?

Back

Convert 3 2/5 to an improper fraction (17/5) and divide by 7/8: (17/5) ÷ (7/8) = (17/5) * (8/7) = 136/35 = 3 31/35 mph.

Front

How do you find the better deal between two products?

Back

Calculate the price per ounce for each product. The product with the lower price per ounce is the better deal.

Front

What is the price per ounce of Oreos if they cost $2.98 for 15 oz?

Back

Price per ounce = Total Price / Total Ounces = $2.98 / 15 oz = $0.1987 per ounce.

Front

What is the price per ounce of Chips Ahoy if they cost $2.50 for 14 oz?

Back

Price per ounce = Total Price / Total Ounces = $2.50 / 14 oz = $0.1786 per ounce.

Front

How do you calculate the speed of a truck that drove 120 miles in 1 3/4 hours?

Back

Convert 1 3/4 to an improper fraction (7/4) and divide: Speed = 120 miles / (7/4) hours = 120 * (4/7) = 68 4/7 mph.

Front

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

Back

Distance = Speed × Time. This relationship shows how these three quantities are interconnected.

Front

How do you find the area mowed per hour if Sasha mows 3/8 of an acre in 3/4 of an hour?

Back

To find the rate, divide the area by the time: (3/8) ÷ (3/4) = (3/8) * (4/3) = 1/2 acre per hour.