# 7th Grade Math : Operations

## Example Questions

### Example Question #1 : Operations

Andrew spends every Saturday at the gym working out. He can complete  of his workout in  of an hour. If he continues at this rate, how much of his workout does Andrew complete per hour?

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of his workout, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Andrew can complete  of his workout per hour.

### Example Question #1 : Operations

Solve:

Explanation:

In order to solve this problem, we need to start at  on the number line.

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line.

The orange arrow moved  places to the right, and ended at ; thus,

Solve: