How to multiply an integer on the fraction

Multiplying the integer on the fraction is an easy task. But there are subtleties in which you, for sure, were sought at school, but since then forgot.

1

How to multiply an integer on the fraction - a bit of terms

If you remember what a numerator is a denominator and what is the correct shot from the wrong - skip this paragraph. He is for those who completely forgot the theory.

The numerator is the upper part of the fracted - what is divisible. The denominator is lower. This is what we divide.
The correct fraction of the one, which has a numerator less than the denominator. Incorrectly called fraction, in which the numerator is greater than or equal to the denominator.

2

How to multiply an integer on the fraction

The rule of multiplication of an integer on the fraction is very simple - multiply the numerator to the whole, and the denominator does not touch the denominator. For example: Multiply two to one fifth - we get two fifths. Four multiplied by three sixteenth - it will work out twelve sixteenth.

3

Reduction

In the second example, the resulting fraction can be reduced.
What does it mean? Pay attention - both the numerator, and the denominator of this fraction shall be divided into four. Divide both numbers on a common divider and is called - to reduce the fraction. We get three fourth.

4

Incorrect fractions

But, suppose we multiplied four two fifths. It turned out eight fifths. This is the wrong fraction.
It must be brought to the correct form. For this, it is necessary to highlight the whole part of it.
Here you need to use a division with the residue. We get a unit and three in the remainder.
One whole and three fifths and there is our correct fraction.

To lead to the correct form of the thirty-five eighth - the task is a little more complicated. The number close to thirty-seven, which is divided by eight is thirty-two. When dividing, we get four. We take away from thirty five thirty two - we get three. Outcome: Four whole and three eighth.

Equality of the numerator and denominator. And here everything is very simple and beautiful. With the equality of the numerator and the denominator, it turns out just a unit.