Question

which of the following are correct representation of 3.75 in fractions ?

• A. $\frac{375}{100}$
• B. $\frac{15}{4}$
• C. $3\frac{3}{4}$
• D. $\frac{75}{20}$

Answer 1

Answer: (A), (B), (C), (D)

$\frac{75}{20}$

At first, we will shift decimal by two places in right hand side which can be done by dividing it by 100. So, we get
$\Rightarrow 3.75=\frac{375}{100}$

Now, on its simplification, it will reduce into
$\Rightarrow \frac{375}{100}=\frac{75\times 5}{20\times 5}=\frac{75}{20}$

$\Rightarrow \frac{75}{20}=\frac{15\times 5}{4\times 5}=\frac{15}{4}$

We can convert 3.75 to fraction by another method also i.e.
$\Rightarrow 3.75=3+0.75\Rightarrow 3.75=3+\frac{75}{100}\Rightarrow 3.75=3+\frac{25\times 3}{25\times 4}\Rightarrow 3.75=3+\frac{3}{4}\Rightarrow 3.75=3\frac{3}{4}$
So, all options are correct.