Real-Life Rational Expressions: Simplifying & Adding Fractions

A recipe requires 3/4 cup of sugar for 2 servings. How much sugar is needed for 5 servings? Simplify your answer as a rational expression.

• 1 cup

• 2/3

• 15/8

• 1/2

A car travels 1/2 of a mile in 1/4 hour. What is the car's speed in miles per hour? Express your answer as a rational expression and simplify.

• 3

• 4

• 2

• 1

Two friends are sharing a pizza. One friend eats 2/3 of the pizza, and the other eats 1/4 of the pizza. How much pizza is left? Add the fractions and simplify.

• 1/12

• 1/6

• 1/4

• 1/8

A tank can be filled by a pipe in 3 hours and emptied by another pipe in 5 hours. How long will it take to fill the tank if both pipes are open? Use rational expressions to find your answer.

• 5 hours

• 10 hours

• 2.5 hours

• 7.5 hours

A gardener has 1/2 of a bag of fertilizer and uses 1/6 of it for a small garden. How much fertilizer does he have left? Simplify your answer as a rational expression.

• 1/4

• 1/3

• 2/3

• 5/12

A recipe calls for 2/5 of a cup of oil. If you want to make 3 batches, how much oil do you need in total? Add the rational expressions and simplify.

• 1 cup of oil

• 3/5 of a cup of oil

• 2 cups of oil

• 1 1/5 cups of oil

A cyclist travels 3/4 of a mile in 1/2 hour. How far will the cyclist travel in 1 hour? Use rational expressions to find your answer and simplify.

• 0.75 miles

• 1.5 miles

• 2 miles

• 1 mile

A school is planning a field trip and has 3/4 of the budget allocated for transportation. If they need to add another 1/8 of the budget for food, what fraction of the budget will be used in total? Add the fractions and simplify.

• 5/8

• 7/8

• 1/2

• 3/4

A recipe requires 5/6 of a cup of flour for 2 servings. How much flour is needed for 5 servings? Simplify your answer as a rational expression.

• 2/3

• 3/4

• 1/2

• 25/12

A water tank is filled at a rate of 1/3 of a tank per hour. How much of the tank will be filled in 4 hours? Use rational expressions to find your answer and simplify.

• 1/2

• 2/3

• 3/4

• 4/3