Simplifying & Adding Rational Expressions in Real Life

A recipe requires 3/4 cup of sugar and 1/2 cup of flour. If you want to make 2 batches of the recipe, how much sugar and flour will you need in total? Simplify your answer.

• 2 cups of sugar and 1 cup of flour

• 3/4 cup of sugar and 1/4 cup of flour

• 1 cup of sugar and 1/2 cup of flour

• 1 1/2 cups of sugar and 1 cup of flour

A car travels 1/3 of a mile in 1/4 of an hour. What is the car's speed in miles per hour? Simplify your answer.

• 1 mile per hour

• 3 miles per hour

• 2 miles per hour

• 4/3 miles per hour

A gardener has 2/5 of a bag of soil and buys another 1/3 of a bag. How much soil does the gardener have now? Simplify your answer.

• 4/15

• 3/5

• 1/2

• 11/15

A tank can be filled by a pipe in 1/2 hour and emptied by another pipe in 1/3 hour. If both pipes are open, how long will it take to fill the tank? Simplify your answer.

• The tank will be filled in 1 hour.

• The tank will be filled in 20 minutes.

• The tank cannot be filled.

• The tank will be filled in 15 minutes.

A school is collecting donations. They received 3/8 of the total goal from one donor and 1/4 from another. How much of the goal has been reached? Simplify your answer.

• 5/8

• 7/8

• 3/4

• 1/2

A recipe calls for 5/6 of a cup of milk. If you want to double the recipe, how much milk do you need? Simplify your answer.

• 3/2 cups

• 5/3 cups

• 1 cup

• 2 cups

A cyclist travels 2/3 of a mile in 1/2 hour. What is the cyclist's speed in miles per hour? Simplify your answer.

• 1 mile per hour

• 0.5 miles per hour

• 1.33 miles per hour

• 2 miles per hour

A baker uses 1/2 of a bag of flour for one batch of cookies and 1/3 of a bag for another batch. How much flour does the baker use in total? Simplify your answer.

• 2/3

• 1/2

• 3/4

• 5/6

A pool can be filled in 1/4 hour and drained in 1/6 hour. If both processes happen simultaneously, how long will it take to fill the pool? Simplify your answer.

• The pool will fill in 1/3 hour.

• The pool will never fill up.

• The pool will fill in 1/2 hour.

• The pool will fill in 1 hour.

A student scored 3/5 on a test and 2/5 on another. What is the student's total score as a fraction of the total possible points? Simplify your answer.

• 4/5

• 3/10

• 1/2

• 2/5