# How do you write 2 7/8 as improper fraction?

May 22, 2018

$2 \frac{7}{8} = 2 + \frac{7}{8} = \left(\frac{8}{8} \times 2\right) + \frac{7}{8} = \frac{16}{8} + \frac{7}{8} = \frac{16 + 7}{8} = \frac{23}{8}$

May 22, 2018

$\frac{23}{8}$

#### Explanation:

$2$$\frac{7}{8}$

Do

$2 \times 8 = 16$

$16 + 7 = 23$

So

$2 \frac{7}{8} = \frac{23}{8}$

May 22, 2018

$\implies \frac{23}{8}$

#### Explanation:

Think of the first number as a count of how many $1$s you have. You can express $1$ as a fraction where the numerator and denominator are equal. In this case, it would useful to use $1 = \frac{8}{8}$. An improper fraction is simply a sum of both terms present in the mixed number.

So our improper fraction would be:

$2 + \frac{7}{8}$

$= 2 \cdot \frac{8}{8} + \frac{7}{8}$

$= \frac{16}{8} + \frac{7}{8}$

We have a common denominator, we can combine the fractions:

$= \frac{16 + 7}{8}$

$= \frac{23}{8}$

This cannot be reduced further.