Question 1

A cake recipe requires

3/4

cup of sugar. If Sarah wants to make

2/3

of the recipe, how much sugar should she use?

Accepted Answer

<math>1/2</math> cup

Answer

<math>9/8</math> cup

Answer

<math>1/4</math> cup

Answer

<math>5/7</math> cup

Question 2

Evaluate the following expression:

3/4

Accepted Answer

Answer

Answer

Answer

Question 3

Subtract

3/4

from the product of

2/3

and

15/4

. What is the final result?

Accepted Answer

Answer

Answer

Answer

Question 4

A hiker descends from a mountain at a rate of

3/4

kilometers per hour. If the hiker continues at this rate for

2/3

an hour and then climbs back up

15/4

kilometers, what is the net change in the hiker's altitude?

Accepted Answer

1/2

kilometers

Answer

1/2

kilometers

Answer

1/2

kilometers

Answer

1/2

kilometers

Question 5

What is the result when you divide

3/4

by

2/3

and then add

15/4

to the quotient?

Accepted Answer

Answer

Answer

Answer

Question 6

An iron rod of length

3/4

meters is cut into equal pieces, each measuring

2/3

of a meter. How many pieces are obtained?

Accepted Answer

10

Answer

12

Answer

9

Answer

8

Question 7

If you multiply the sum of

3/4

and

2/3

by the difference of

15/4

and

1/4

, what is the resulting rational number?

Accepted Answer

Answer

Answer

Answer

Question 8

A container is

3/4

full of water. If

2/3

of the water is poured out, what fraction of the entire container is now filled with water?

Accepted Answer

Answer

Answer

Answer

Question 9

The thermometer recorded a temperature of

3/4

degrees Celsius in the morning. By noon, the temperature had risen by

2/3

degrees Celsius. What was the temperature at noon?

Accepted Answer

1/2

degrees Celsius

Answer

1/2

degrees Celsius

Answer

1/2

degrees Celsius

Answer

1/2

degrees Celsius

Question 10

A piece of wood is

3/4

meters long. If a carpenter cuts off

2/3

of the wood to use for a project, what is the length of the remaining piece in meters?

Accepted Answer

<math>5/18</math> meter

Answer

<math>5/9</math> meter

Answer

<math>1/3</math> meter

Answer

<math>1/6</math> meter

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