Question

Jenifer spent $\frac{4}{9}$ of her allowance on House rent, $\frac{2}{9}$ on Food and $\frac{5}{9}$on shopping.
How much does she spend on rent, food and shopping together? Express the answer as a mixed number.

• A. $2\frac{1}{9}$
• B. $2\frac{9}{2}$
• C. $1\frac{2}{9}$
• D. None of the above

Answer 1

The correct option is C $1\frac{2}{9}$

Fraction of allowance spent on house rent= $\frac{4}{9}$
Fraction of allowance spent on Food=$\frac{2}{9}$
Fraction of allowance spent on Shopping=$\frac{5}{9}$

Fraction of allowance spent on all three
=$\frac{4}{9}$ +$\frac{2}{9}$ + $\frac{5}{9}$
=$\frac{11}{9}$

Now, convert the answer into mixed numbers as follows
=$\frac{9+2}{9}$
=$\frac{9}{9}$ + $\frac{2}{9}$
=1 + $\frac{2}{9}$
= $1\frac{2}{9}$
Hence, she spent $1\frac{2}{9}$ part of her total allowance on house rent, food and shopping.