Question

Maggie has $3\frac{3}{4}$ ft of ribbons. Her mother asks her to cut ribbons of length $\frac{5}{8}$ ft. What is the length of ribbon that remains uncut?

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is A 0

Length of Ribbon Maggie has = $3\frac{3}{4}$ ft
$3\frac{3}{4}$ ft can be written as
$3\frac{3}{4}=\frac{3\times 4+3}{4}=\frac{15}{4}$ ft

Length of ribbons that her mother has asked her to cut = $\frac{5}{8}$ ft
Number of ribbons Maggie can produce are
$3\frac{3}{4}÷\frac{5}{8}=\frac{3\times 4+3}{4}÷\frac{5}{8}=\frac{15}{4}÷\frac{5}{8}=\frac{15}{4}\times \frac{8}{5}=\frac{15\times 8}{4\times 5}$
$=\frac{3\times 5\times 4\times 2}{4\times 5}=\frac{6}{1}=6$
Hence, 6 ribbons of length $\frac{5}{8}$ ft are cut. Ribbon length has been used completely in making 6 ribbons.

$\therefore$ The length of ribbon that remains uncut is 0.