Question

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

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

Answer 1

The correct option is B $\frac{11}{4},\frac{8}{3}$

$\left(a\right)\frac{13}{5}+\frac{11}{6}=\frac{78+55}{30}=\frac{133}{30}=4\frac{13}{30}$ $\left(b\right)\frac{11}{4}+\frac{8}{3}=\frac{33+32}{12}=\frac{65}{12}=5\frac{5}{12}$
$\left(c\right)\frac{7}{3}+\frac{11}{5}=\frac{33+33}{15}=\frac{68}{15}=4\frac{8}{15}$ $\left(d\right)\frac{7}{3}+\frac{11}{5}=\frac{33+33}{15}=\frac{68}{15}=4\frac{8}{15}$
$\therefore$ The required pair is $\frac{11}{4},\frac{8}{3}$