# What is 1 3 of 2 3

## Calculate proportions with fractions

Reading time: 4 min

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?

Let's take an example task:

"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 form 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 equal “parts” of a whole. 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, therefore:.

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.

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