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.

Question

Multiply the numerator of the fraction by the whole number
(7x3)/4= ________/4

Answer 1

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

\[ 7 \times \frac{3}{4} \]

To carry out the multiplication, you multiply the numerator (3) by the whole number (7):

\[ \text{Numerator: } 7 \times 3 = 21 \]

Now, you keep the denominator (4) the same, so you write:

\[ \frac{21}{4} \]

Therefore, the multiplication expression is:

\[ \frac{21}{4} \text{ feet of board} \]

To express this in mixed number form, you can divide 21 by 4, which gives you:

\[ 21 \div 4 = 5 \text{ R } 1 \]

Thus,

\[ \frac{21}{4} = 5 \frac{1}{4} \]

In conclusion, Kevin and the volunteers will need \( \frac{21}{4} \) feet or 5 \( \frac{1}{4} \) feet of board for the job.