Question

Write 2.75 as a mixed number and as an improper fraction. Write your answers in simplest form.

Answer 1

mixed number: 2 3/4
improper fraction: 11/4

Answer 2

Answer:

$\displaystyle\frac{11}{4}$ is the required improper fraction.

$2\displaystyle\frac{3}{4}$ is the required mixed fraction.

Step-by-step explanation:

We have to write 2.75 in the form of an improper fraction and a mixed fraction.

First we write 2.75 in fractional form.

$2.75 = \displaystyle\frac{275}{100}$

We reduce this fraction to the lowest form.

$2.75 =\displaystyle\frac{275}{100} = \displaystyle\frac{275\div 25}{100\div 25} = \displaystyle\frac{11}{4}$

$\displaystyle\frac{11}{4}$ is the required improper fraction.

Now, we will convert this improper fraction into mixed fraction.

$\displaystyle\frac{11}{4} = \displaystyle\frac{8+3}{4} = 2\displaystyle\frac{3}{4}$

$2\displaystyle\frac{3}{4}$ is the required mixed fraction.