Question

Mr. Gatsby mowed $\frac{5}{16}$ of his lawn on monday. He mowed $\frac{4}{8}$ of his lawn on tuesday. What fraction of the Lawn has he mowed so far?

• A. $\frac{13}{16}$
• B. $\frac{9}{16}$
• C. $\frac{9}{8}$
• D. None of the above

Answer 1

The correct option is A $\frac{13}{16}$

Fraction of lawn mowed on Monday $=\frac{5}{16}$
Fraction of lawn mowed on Tuesday $=\frac{4}{8}$

Total Fraction of lawn mowed = $\frac{5}{16}+\frac{4}{8}$

As these are unlike fractions, let's convert them into the like fractions by finding LCM of denominators 16 and 8.

Multiple of 16: 16, 32, 48...
Multiple of 8: 8, 16, 24, ...
$\therefore$ LCM (16, 8) = 16

Now convert the denominators of each fractions into 16 (LCM of 16 and 8)

Multiplying the fraction $\frac{4}{8}$ with 2, we get:
$\frac{4}{8}=\frac{4\times 2}{8\times 2}=\frac{8}{16}$

$\frac{5}{16}$ already contains the denominator 16

Hence, Total Fraction of lawn mowed$=\frac{5}{16}+\frac{8}{16}=\frac{5+8}{16}=\frac{13}{16}$
Mr. Gatsby mowed $\frac{13}{16}$ of his lawn on monday and tuesday.