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
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
Answers
GPT-4o mini
To set up the multiplication expression for the total length of the boards needed, we have:
\[ 7 \times \frac{3}{4} \text{ feet} \]
Now, we multiply the numerator of the fraction (3) by the whole number (7):
\[ 7 \times 3 = 21 \]
So we can write the expression as:
\[
\frac{21}{4} \text{ feet}
\]
To make it easier to interpret, we can convert \(\frac{21}{4}\) into a mixed number:
\[
21 \div 4 = 5 \quad \text{remainder} \quad 1
\]
This means:
\[
\frac{21}{4} = 5 \frac{1}{4} \text{ feet}
\]
Thus, they will need a total of:
\[
\frac{21}{4} \text{ feet} \text{ or } 5 \frac{1}{4} \text{ feet of board for the job.}
\]
\[ 7 \times \frac{3}{4} \text{ feet} \]
Now, we multiply the numerator of the fraction (3) by the whole number (7):
\[ 7 \times 3 = 21 \]
So we can write the expression as:
\[
\frac{21}{4} \text{ feet}
\]
To make it easier to interpret, we can convert \(\frac{21}{4}\) into a mixed number:
\[
21 \div 4 = 5 \quad \text{remainder} \quad 1
\]
This means:
\[
\frac{21}{4} = 5 \frac{1}{4} \text{ feet}
\]
Thus, they will need a total of:
\[
\frac{21}{4} \text{ feet} \text{ or } 5 \frac{1}{4} \text{ feet of board for the job.}
\]
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