Question

Which among the following correctly represents the arrangement of the given fractions in an ascending order?

• A. $\frac{2}{3},\frac{1}{2},\frac{3}{4},\frac{4}{5}$
• B. $\frac{4}{5},\frac{1}{2},\frac{3}{4},\frac{2}{3}$
• C. $\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}$
  
• D. $\frac{2}{3},\frac{3}{4},\frac{1}{2},\frac{4}{5}$

Answer 1

The correct option is C $\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}$


We need to arrange the given rational number in an ascending order. To find which number is greater or smaller, we need to make their denominators equal.
L.C.M. of 2, 3, 4 and 5 is 60.
$\frac{4}{5}=\frac{4\times 12}{5\times 12}=\frac{48}{60}$
$\frac{3}{4}=\frac{3\times 15}{4\times 15}=\frac{45}{60}$
$\frac{2}{3}=\frac{2\times 20}{3\times 20}=\frac{40}{60}$
$\frac{1}{2}=\frac{1\times 30}{2\times 30}=\frac{30}{60}$

So, the given rational numbers in the ascending order:
$\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}$
The correction option is C.