# How do you solve #\frac { 4} { 5} \div \frac { 1} { 2}#?

##### 2 Answers

#### Explanation:

Write the problem as a complex fractions and then simplify by using the multiplicative inverse.

The fraction sign literally means to divide. So the problem is one fraction divided by a second fraction. The problem can be written

To simplify the fraction multiply both sides by the inverse of the bottom fraction

The fairness principal states that what ever you do to one side must be done to the other side. ( The multiplication property of equality)

So both top fraction and the bottom fraction must be multiplied by the inverse

Giving this

The key to dividing fractions is to use the inverse of the second fraction which becomes the denominator of the complex fraction.

#### Explanation:

Dividing by any number is the same as multiplying by its reciprocal.

For example, saying "10 divided by 2", is the same as "half of 10"

In Maths:

Dividing by a fraction is exactly the same. Multiply by its reciprocal.

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