In this activity, we will be learning to **relate fractions to decimals.**

We can convert this **decimal to a fraction:**

1.1 = ?

1.1 = **one whole** and **one tenth**

**1.1 = 1 and 1/10**

How about this one?

0.72 = ?

This time, there are no ones and 72 hundredths.

We write this as **72/100**

We can also convert this** fraction to a decima**l:

7/10 = ?

We have no whole numbers.

We have 7/10. The tenths column in a decimal is the one immediately after the decimal point.

So,** 7/10 is written as 0.7**

How about this one?

2 and 42/100 = ?

We have 2 whole numbers.

We have 42 hundredths which can be written as 0.42

**So, 2 and 42/100 = ** **2.42**

Let's try some examples.

**Example 1**

Lucy writes a fraction as the decimal 0.2.

What fraction is Lucy thinking of?

**Answer**

The decimal 0.2 has a two in the tenths place.

There are no ones.

**0.2 = 2/10 or two tenths**

**Example 2**

Sam has eaten 37/100 of a pizza.

What is this as a decimal?

**Answer**

Sam hasn't eaten as much as a whole pizza (phew!) so there are no whole numbers.

He has eaten 37/100 which can be written as 0.37

So, Sam has eaten** 0.37** of a pizza.

Now it's your turn!

Good luck with these questions.