Question

Shyam worked for $\frac{3}{8}$ days in company A and for $\frac{8}{32}$ days in company B. How many days did he work in total?

Answer 1

Number of days worked in company A = $\frac{3}{8}$

Number of days worked in company B = $\frac{8}{32}$

Total number of days worked = $(\frac{3}{8}+\frac{8}{32})$

Now, first we need to convert the given fractions to like fractions so that both of them have the same denominator.

Since, 8 $\times$ 4 = 32, we will multiply the numerator and denominator of $\frac{3}{8}$ by 4.

$\frac{3}{8}=\frac{3\times 4}{8\times 4}=\frac{12}{32}$

Now, $\frac{3}{8}+\frac{8}{32}=\frac{12}{32}+\frac{8}{32}$

$=\frac{12+8}{32}$ (adding like fractions)

$=\frac{20}{32}$

$=\frac{5}{8}$

Thus, Shyam has worked for $\frac{5}{8}$ days in total.