Question

What is the smallest common multiple of 2$\frac{3}{5}$ and 3$\frac{5}{2}$?

• A. $13$
• B. $\frac{13}{11}$
• C. $\frac{1}{143}$
• D. $143$

Answer 1

The correct option is D

$143$

Given mixed fractions can be converted to improper fractions as shown below.
$2\frac{3}{5}=\frac{13}{5}$
$3\frac{5}{2}=\frac{11}{2}$
The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.
LCM of fractions $=\frac{\text{LCM of numerators}}{\text{HCF of denominators}}$
LCM of numerators 11 and 13 = 143
HCF of denominators 5 and 2 = 1
$\therefore$ LCM of the given numbers $=\frac{143}{1}=143$