# How do you write 6 7/8 as an improper fraction?

Jun 2, 2018

$\frac{55}{8}$

#### Explanation:

When converting to an improper fraction, you multiply the denominator by the whole number, then add the numerator.

In this case, you multiply $8$ by $6$, which is $48$, then add $7$ which gives $55$. Now you put $55$ over the original denominator, which is $8$. So the answer is $\frac{55}{8}$.

$6 \frac{7}{8} = \frac{6 \times 8 + 7}{8} = \frac{48 + 7}{8} = \frac{55}{8}$

Jun 3, 2018

Another approach is:

$6 \frac{7}{8} = 6 + \frac{7}{8} = \left(\frac{8}{8} \times 6\right) + \frac{7}{8} = \frac{48}{8} + \frac{7}{8} = \frac{48 + 7}{8} = \frac{55}{8}$