Question

Which of the following are greater than $\frac{3}{4}$?

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

Answer 1

Answer: (B), (C)

The correct options are
B $\frac{5}{4}$
C $1$

First, we convert all fractions into like
fractions with a denominator of 4.

$\frac{1}{2}=\frac{1\times 2}{2\times 2}=\frac{2}{4}$

$\frac{5}{4}$ = $\frac{5}{4}$

$1=\frac{4}{4}$

$\frac{1}{4}$ = $\frac{1}{4}$

After comparing only the numerators we can write, $\frac{1}{4}<\frac{2}{4}<\frac{3}{4}<\frac{4}{4}<\frac{5}{4}.$

Here, $\frac{4}{4}$ and $\frac{5}{4}$ are greater than $\frac{3}{4}$.

Therefore, 1 and $\frac{5}{4}$ are greater than $\frac{3}{4}$.