# How do you simplify 40 - 4/5?

Jul 12, 2016

$\frac{196}{5}$

(or $39 \frac{1}{5}$or $39.2$)

#### Explanation:

First, we need to turn $40$ into a fraction with $5$ as the denominator. We can do this by multiplying $5$ to both the numerator and the denominator.

$\frac{40}{1} \times \frac{5}{5} = \frac{40 \times 5}{1 \times 5} = \frac{200}{5}$

Now that we have two fractions with common denominators, we can go ahead and subtract.

$\frac{200}{5} - \frac{4}{5} = \frac{200 - 4}{5} = \frac{196}{5}$

Mixed fraction form:

$\frac{196}{5} = 39 \frac{1}{5}$

Decimal form:

$\frac{196}{5} = 39.2$

Aug 4, 2016

Have a look at: https://socratic.org/s/awL3Kii8

$\frac{196}{5} = 39 \frac{1}{5}$

$\textcolor{g r e e n}{\text{Note that the question uses fraction format. The answer should}}$$\textcolor{g r e e n}{\text{be in the same format; as a fraction!}}$

#### Explanation:

color(brown)((40xx1)-4/5) color(blue)(" "->" "(40xx5/5)-4/5

$\frac{40 \times 5}{5} - \frac{4}{5} \text{ "=" } \frac{200 - 4}{5}$

$= \frac{196}{5}$