Fractions With Denominators of 10 and 100

Fractions with a denominator of 10 and 100 are so common, we have a special way to write them:

1/10 = 0.1
fraction form = decimal form

1/100 = 0.01
fraction form = decimal form

The . is called a decimal point.

⭐ Digits to the right of the decimal point show values less than 1.

You'll learn more about decimals soon. But it's great that you know a bit already.

⭐ Fractions with a denominator 10 can be turned into equivalent fractions with a denominator 100.

How? Let's learn with an example.

What fraction with a denominator of 100 is equivalent to 1/10?

To make the denominator, 10, equal 100, we need to multiply it by 10.

Then, we must also multiply the numerator by 10, since whatever we do to the bottom we must do to the top.

$multiplying the numerator and the denominator by 10$

So, 10/100 is an equivalent fraction to 1/10. ✅

Tip: when you do homework on your own, you can write the math like this:

$1/10 and 10/100 equivalent fractions$

We can also write 10/100 as the decimal 0.10, which is the same as writing 0.1. 👍

1/10 = 10/100
0.1 = 0.10

What fraction with a denominator of 10 is equivalent to 50/100?

To make the denominator, 100, equal 10, we need to divide it by 10.

To keep the fraction equivalent, or having the same value, we must also divide the numerator by the same number.

$dividing the numerator and the denominator by 10$

So, we found an equivalent fraction to 50/100: 5/10!

Tip: 50/100 can be written as the decimal 0.50.

Tip: 5/10 can be written as the decimal 0.5.

Find the equivalent fraction of 3/10 that has a denominator of 100.

What should we do?

Yes, we multiply the numerator and denominator by 10.

$Equivalent fractions multiplying by 1 trick.$

Our answer is 30/100. ✅

$multiplying the numerator and the denominator by 10$

Excellent work. 👏

Now, try the practice. It'll help you understand more.

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