Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan.

Reduce the fraction to lowest terms.

Click once to select an item at the bottom of the problem. Click again to drop the item in its correct place.

Answer 1

Consider the fraction
`(k+7)/(4k+28)`.

1. You can see that the denominator 4k+28 can be simplified to expression 4(k+7), because 4k=4·k and 28=4·7, so using the distributive property you can write that 4k+28=4(k+7).

2. Then the initial fraction becomes


`(k+7)/(4k+28)= (k+7)/(4(k+7))`.

3. The nominator and the denominator have the common divisor k+7, then you can divide top and bottom by k+7:


`(k+7)/(4k+28)= (k+7)/(4(k+7))=(1)/(4)`.

Answer:
`(1)/(4)`