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Question

Kevin is working with a group of community volunteers to replace rotting boards over the river walkway. They need to replace 7 boards that are each 3/4 feet long. How many total feet of board will they need for the job?
This is a multiplication problem, because we have 7 sets of the same item. Set up the multiplication expression.

7 x _

Multiply the numerator of the fraction by the whole number.

(7x3)/4 = _/4
_ ft

Answer 1

To find the total length of the boards needed, you can set up the multiplication expression as follows:

7 x (3/4)

Now, to multiply the numerator of the fraction by the whole number:

(7 x 3) / 4 = 21 / 4

Next, let's convert \( 21/4 \) into a mixed number or decimal for clarity:

21 divided by 4 is 5 with a remainder of 1, which gives us: 5 \( \frac{1}{4} \) feet or 5.25 feet.

So, the total length of boards needed for the job is:

5.25 ft or 5 \( \frac{1}{4} \) ft.