Question

Patrick drank $\frac{3}{4}$ liter of water before jogging. He drank $\frac{4}{5}$ liter of water after his jog. How much water did Patrick drink altogether? Choose your answer as a mixed fraction.

• A. $\frac{31}{20}$
• B. $1\frac{13}{20}$
• C. $1\frac{9}{20}$
• D. $1\frac{11}{20}$

Answer 1

The correct option is D $1\frac{11}{20}$

Total amount of water consumed by Patrick
$\frac{3}{4}+\frac{4}{5}$
LCM of (4, 5) is 20. So, we need to make the denominators of both $\frac{3}{4}$ and $\frac{4}{5}$ as 20.

= $(\frac{3}{4}\times \frac{5}{5})+(\frac{4}{5}\times \frac{4}{4})$
= $\frac{15}{20}+\frac{16}{20}$
= $\frac{15+16}{20}$
= $\frac{31}{20}$
= $\frac{20\times 1+11}{20}$
=$1+\frac{11}{20}$
= $1\frac{11}{20}$ liters