# What is half of frac 20 2

## Calculate proportions with fractions

With the help of fractions you can Proportions of sizes be calculated. The simplest example is "Calculate half of ...". To do this, you can divide by or multiply by. But why does it work?

"Calculate half of."

We could just divide now:

But instead of the division, we can also do one Multiplication by a fraction as follows:

We learned that this conversion is allowed by dividing fractions.

We see here that can be replaced with.

In the following, let's calculate a few examples in which we create fractions with fractions.

### Example: (1/8) of 1000 kg

You are asked for 1 out of 8 “parts” of the whole of the same size. Our "whole" are those.

Without the fractions, we could do the division directly:.

With the help of the fraction calculation:

### Example: (3/8) of 100 m

You are asked for 3 of 8 “parts” of a whole of the same size. Our "whole" are those.

Without the fractions, we could do the division directly:. That is 1 part of 8 parts. However, you will be asked for 3 parts, thus:.

This is faster with the help of the fraction calculation:

### Example: (3/20) of 1 hour

You are asked for 3 of 20 “parts” of one hour of the same size.

We solve this with the help of fractions:

Now we can convert the hours into minutes:

Solution: hours correspond to minutes.