# 2.2.1 Converting Fractions to Decimals

Let’s relate fractions to decimals. If we have a whole pie and
a pie, we have 1 and of a pie. Not only is that hard to read and type; it’s
also hard to say! So, to represent whole numbers and fractions of whole
numbers, we use decimals as we have just seen in the last section. We do this by using a **decimal point** to
separate the whole number from the fraction.

For example, say you needed to write out 2 and (three tenths) as a decimal. The whole part is 2 and the fractional part is . Thus, we would write the 2 to the left of the decimal point and the fractional part to the right of the decimal point. Thus, it would be written as 2.3.

Let’s reinforce this concept with more explanation (Click on “View document”).

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Now try a few conversions on your own. Check out the next activity.

## Activity: Fractions to Decimals

Rewrite each of the following fractions as a decimal.

(a) .

### Discussion

If the number does not have a whole number part, a zero is written in the units. This makes the number easier to read (it’s easy to overlook the decimal point). The first placeholder to the right of the decimal is the tenths. How many tenths do you have for each given number?

### Answer

(a) (because there are zero whole parts).

(b) .

### Answer

(b) (because there are zero whole parts).

(c) 1 and .

### Answer

(c) 1 and = 1.2.

(d) 3 and 3/100.

### Answer

(d) 3 and 3/100 = 3.03.

2.2 Using a Number Line