Question

A ribbon of length $5\frac{1}{4}$ m is cut into small pieces each of length $\frac{3}{4}$ m. How many number of the small pieces will be?

Answer 1

Number of pieces
$\frac{\text{Total length of ribbon}}{\text{Length of one piece}}=\frac{\left(5\frac{1}{4}\right)}{\left(\frac{3}{4}\right)}\left(\frac{\frac{(5\times 4)+1}{4}}{\frac{3}{4}}\right)=\frac{\left(\frac{21}{4}\right)}{\left(\frac{3}{4}\right)}=\frac{21}{4}\times \frac{4}{3}$ $[\because \text{reciprocal of}\frac{3}{4}=\frac{4}{3}]$
$=7$