Mastering Adding and Simplifying Rational Expressions

A recipe requires 3/4 cup of sugar and 1/2 cup of brown sugar. What is the total amount of sugar needed in a single rational expression?

• 5/4

• 1/2

• 2/3

• 3/2

A car travels 1/3 of a mile in 1/4 hour. How can you express the speed of the car as a rational expression?

• 1/3

• 1/4

• 3/4

• 4/3

If a tank can be filled by 1/5 of a pipe in one hour and 1/3 of another pipe in one hour, how long will it take to fill the tank using both pipes together?

• 3 hours

• 1 hour

• 1.875 hours

• 2.5 hours

A gardener has 2/3 of a bag of fertilizer and buys another 1/4 of a bag. How much fertilizer does the gardener have now as a simplified rational expression?

• 11/12

• 5/6

• 3/4

• 1/2

A recipe calls for 1/2 cup of oil and 1/3 cup of vinegar. What is the total amount of liquid needed in a single rational expression?

• 1/2

• 2/3

• 3/4

• 5/6

A cyclist travels 2/5 of a mile in 1/10 hour. What is the cyclist's speed expressed as a rational expression?

• 4

• 10

• 5

• 2

If a water tank is filled at a rate of 1/6 of the tank per hour and emptied at a rate of 1/4 of the tank per hour, what is the net rate of filling the tank as a rational expression?

• -1/12

• -1/4

• 1/2

• 1/12

A baker uses 3/8 of a cup of flour for one batch of cookies and 1/2 cup for another batch. How much flour is used in total as a simplified rational expression?

• 1 cup

• 5/8

• 3/4 cup

• 7/8

A car can travel 1/2 mile in 1/6 hour. What is the speed of the car in miles per hour expressed as a rational expression?

• 4

• 5

• 2

• 3

If a pool is filled by 1/4 of a hose in one hour and 1/3 of another hose in one hour, how long will it take to fill the pool using both hoses together?

• 8/3 hours

• 10 hours

• 5 hours

• 12/7 hours