Question

Shyam worked for $\frac{5}{8}$ days in company A and for $\frac{8}{32}$ days in company B. How many days did he work in total?

• A. $\frac{7}{8}$
• B. $\frac{33}{40}$
• C. $25\frac{8}{32}$
• D. $3\frac{1}{8}$

Answer 1

The correct option is A $\frac{7}{8}$

Number of days worked in company A = $\frac{5}{8}$

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

Total number of days worked = $(\frac{5}{8}+\frac{8}{32})$

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 $\frac{5}{8}$ by 4.

$\frac{5}{8}=\frac{5\times 4}{8\times 4}=\frac{20}{32}$

Now, $\frac{5}{8}+\frac{8}{32}=\frac{20}{32}+\frac{8}{32}$

$=\frac{20+8}{32}$ (adding like fractions)

$=\frac{28}{32}$

$=\frac{7}{8}$

Thus, Shyam has worked for $\frac{7}{8}$ days in total.