Question

Which of the following pairs of fractions add up to a number less than 5?

• A. $\frac{5}{3},\frac{3}{4}$
• B. $\frac{7}{3},\frac{11}{5}$
• C. $\frac{11}{4},\frac{8}{3}$
• D. $\frac{13}{5},\frac{11}{6}$

Answer 1

Answer: (A), (B), (D)

The correct options are
A $\frac{5}{3},\frac{3}{4}$
B $\frac{7}{3},\frac{11}{5}$
D $\frac{13}{5},\frac{11}{6}$

Option A

$5/3+3/4=(5\times 4+3\times 3)/12=29/12$
$29/12<5$

Option B
$7/3+11/5=(7\times 5+3\times 11)/15=68/15$
$68/15<5$

Option C
$11/4+8/3=(11\times 3+8\times 4)/12=\left(65/12\right)$
$65/12>5$

Option D
$13/5+11/6=(13\times 6+11\times 5)/30$
$(78+55)/30=133/30$
$133/30<5$
Thus the correct answers are : $29/12$ , $68/15$ and $133/30$