Question

Choose the option that represents the given image.

• A. $\frac{1}{4}$
• B. $\frac{11}{4}$
• C. $2\frac{3}{4}$
• D. 3

Answer 1

Answer: (B), (C)

$2\frac{3}{4}$

In the figure there are 2 wholes and one three fourth

So figure represents $2\frac{3}{4}$

$\text{Convert mixed fraction}2\frac{3}{4}\text{into an improper fraction}$

Rewrite the whole number 2 as a fraction with 4 as the denominator,

$2\frac{3}{4}=\left(2\right)+\frac{3}{4}=\left(\frac{2\times 4}{1\times 4}\right)+\frac{3}{4}=\frac{8}{4}+\frac{3}{4}=\frac{11}{4}$

$\therefore$ $2\frac{3}{4}=\frac{11}{4}$

Verify from the picture,
$\frac{4}{4}+\frac{4}{4}+\frac{3}{4}=\frac{11}{4}$

$\frac{11}{4}\text{is an improper fraction}$

$\therefore 2\frac{3}{4}=\frac{11}{4}$