Question

Vani bought $\frac{2}{5}$kg maize and $\frac{4}{15}$kg wheat.Total cereal she bought was

• A. $\frac{6}{20}$kg
• B. $\frac{2}{3}$kg
• C. $\frac{8}{75}$kg
• D. $\frac{7}{75}$kg

Answer 1

The correct option is B

$\frac{2}{3}$kg

Weight of maize $=\frac{2}{5}$kg

Weight of wheat$=\frac{4}{15}$kg

Convert the above fractions into like fractions by obtaining L.C.M of their denominators, we get

L.C.M of $5$ and $15$$=15$

$\frac{2}{5}$$=\frac{2\times 3}{5\times 3}=\frac{6}{15}$

Total weight of cereal bought $=$Weight of maize $+$Weight of wheat

$=\frac{6}{15}$kg$+$$\frac{4}{15}$kg

$=$$\left(\frac{6+4}{15}\right)$kg

$=$$\frac{10}{15}$kg

⇒Total weight of cereal bought $=$$\frac{2}{3}$kg

Thus, option B is the correct answer