Question

Three strips of paper of equal length are shaded as shown below in the figure. Find the biggest fraction of the shaded parts.

• A. All of them are equal.
• B. $\frac{5}{5}$
• C. $\frac{3}{4}$
• D. $\frac{3}{5}$

Answer 1

The correct option is B $\frac{5}{5}$


$=\frac{3}{4}$

$=\frac{3}{5}$

$=\frac{5}{5}$

We have to convert them to like fractions by finding the LCM of the denominators.
The denominators are 4 and 5.
The LCM is 20.
So, the denominator of each fraction is changed to 20.
We have to divide the LCM by the denominator and multiply the numerator by the quotient.

Consider $\frac{3}{4}$:
$20÷4$ = 5

$\frac{3\times 5}{20}=\frac{15}{20}$

Consider $\frac{3}{5}$:
$20÷5=4$

$\frac{3\times 4}{20}=\frac{12}{20}$

Similarly, $\frac{5}{5}=\frac{5\times 4}{20}$
$=\frac{20}{20}$

Biggest fraction $=\frac{5}{5}=\frac{20}{20}$