Question

Arnav spends 1 ¾ hours in studies, 2 ½ hours in playing cricket. How much time did
he spend in all?

Answer 1

${ \mathcal{{ \color{navy}{\huge{ \fcolorbox{indigo}{aquamarine}{AnSwEr}}}}}} \: \: { \huge{ \color{green} \downarrow}}$

${ \tt{ \boxed{\mathsf{ = 4 \frac{1}{4} \: hours}}}}$

${ \tt{{ \color{navy}{ \large{ \fcolorbox{teal}{cyan}{explanation}}}}}} \: \: { \huge{ \color{green} \downarrow}}$

Time spent in studies =

$1 \frac{3}{4}$

Time spent in playing cricket =

$2 \frac{1}{2}$

Now, let's find the hours that he spent at all:

$1 \frac{3}{4} + 2 \frac{1}{2}$

Convert mixed fraction into improper fraction

$\mathsf{ = \frac{7}{4} + \frac{5}{2} }$

Take the LCM

$\mathsf{ = \frac{7 + 5 \times 2}{4} }$

Multiply the numbers

$\mathsf{ = \frac{7 + 10}{4} }$

Add the numbers

$\mathsf{ = \frac{17}{4} }$

Convert the improper fraction into mixed fraction

${ \tt{ \boxed{\mathsf{ = 4 \frac{1}{4} } \: hours}}}$