Question

If $\frac{3}{4}+\frac{1}{6}$ has to be represented as a sum of like fractions, it will be written as .

• A. 3/12 + 1/12
• B. 3/6 + 1/6
• C. 9/ 12 + 2/12
• D. 4/8 + 6/8

Answer 1

The correct option is C 9/ 12 + 2/12

To represent $\frac{3}{4}+\frac{1}{6}$ as like fractions, we must convert both fractions having same denominator.
The LCM of 4 and 6 is 12. So we will multiply both the denominators accordingly to get a common denominator of 12.
We know that 4 $\times$ 3 = 12 and 6 $\times$ 2 = 12, hence
$\frac{3}{4}$ = $\frac{3\times 3}{4\times 3}$ = $\frac{9}{12}$
$\frac{1}{6}$ = $\frac{1\times 2}{6\times 2}$ = $\frac{2}{12}$
Thus, $\frac{3}{4}+\frac{1}{6}$ can be written as $\frac{9}{12}+\frac{2}{12}$.