Question

Which figure has ${\frac{1}{3}}^{rd}$ of its whole shaded?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

$\frac{1}{3},\frac{1}{6},\frac{1}{2},\frac{1}{7}$
Since 3, 6, 2 and 7 Do not have any common factors;
The LCM = 3 \times 6 \times 2 \times 7 = 210
$\therefore$ Making it an like fractions,
We have
$\frac{1\times 70}{3\times 70}=\frac{70}{210}\frac{1\times 35}{6\times 35}=\frac{35}{210}\frac{1\times 35}{2\times 35}=\frac{35}{210}\frac{1\times 30}{7\times 30}=\frac{30}{210}$
According in Ascending order
$\frac{30}{210},\frac{35}{210},\frac{40}{210},\frac{105}{210}\therefore \frac{1}{7},\frac{1}{6},\frac{1}{3},\frac{1}{2}$