Question

Rini finished colouring a picture in $\frac{3}{8}$ hour. Vidushi finished colouring the same picture in $\frac{5}{9}$ hours. Who worked longer and by what fraction?

• A. Rini, $\frac{17}{37}$
• B. Rini, $\frac{13}{72}$
• C. Vidushi, $\frac{13}{72}$
• D. Vidushi, $\frac{17}{37}$

Answer 1

The correct option is C Vidushi, $\frac{13}{72}$

At first we will compare both the fractions.
Rini worked for = $\frac{3}{8}$
Vidushi worked for = $\frac{5}{9}$
$\frac{3}{8}$ ___ $\frac{5}{9}$ = $\frac{3\times 9}{8\times 9}$ ___ $\frac{5\times 8}{9\times 8}$

= $\frac{27}{72}$ < $\frac{40}{72}$

Now we will subtract the smaller fraction from the bigger fraction

= $\frac{40}{72}$ - $\frac{27}{72}$ = $\frac{40-27}{72}$ = $\frac{13}{72}$