Question

There are 4 ropes. Each rope is 3 \large \frac{1}{4} feet long. Select the 3 expressions that would give the total length of the ropes. a \large 3\frac{1}{4}+3\frac{1}{4}+3\frac{1}{4}+3\frac{1}{4} b 4 x \large \frac{12}{4} c 4 x \large \frac{13}{4} d \large \frac{12}{4}+\frac{12}{4}+\frac{12}{4}+\frac{12}{4} e \large \frac{13}{4}+\frac{13}{4}+\frac{13}{4}+\frac{13}{4}

Answer 1

The correct answers are;

4 * 3 1/4

3 1/4 + 3 1/4 + 3 1/4 + 3 1/4

13/4 + 13/4 + 13/4 + 13/4

Explanation:

Given 4 ropes each 3 1/4 feet long

1 rope = 3 1/4 feet long

4 ropes = x

cross multiply

1 * x = 4 * 3 1/4

x = 4 * 3 1/4

Since 3 1/4 is in 4 places, the total length can also be expressed as;

3 1/4 + 3 1/4 + 3 1/4 + 3 1/4

We can also rewrite as an improper fraction

Since 3 1/4 = 13/4

Total length = 13/4 + 13/4 + 13/4 + 13/4