Question

Tom has $3\frac{3}{4}$ ft of ribbon. His mother asks him to cut ribbons of length $\frac{5}{8}$ ft. The number of ribbon Tom can make is.

• A. $4$
• B. $5$
• C. $6$
• D. $7$

Answer 1

The correct option is C $6$

Length of Ribbon Tom has = $3\frac{3}{4}$ meters

$3\frac{3}{4}$ meters can be written as

$3\frac{3}{4}=\frac{3\times 4+3}{4}=\frac{15}{4}$ meters

Length of ribbons that his mother has asked him to cut = $\frac{5}{8}$ meters
Number of ribbons Tom can produce are

$3\frac{3}{4}÷\frac{5}{8}$
$=\frac{15}{4}÷\frac{5}{8}$
$=\frac{15}{4}\times \frac{8}{5}=\frac{15\times 8}{4\times 5}$

$=\frac{3\times 5\times 4\times 2}{4\times 5}=\frac{6}{1}=6$

$\therefore$ Tom can make 6 Ribbons.