Converting: Fractions / Decimals / Percents

Lesson 1g

Decimals to Fractions

How to Find the Decimal Value for a Fraction

To do this - - divide the numerator by denominator.

1

2

1 divided by 2 equals .5 so that

means the decimal value for 1/2 is .5

How to Find the Decimal Value for a FractionExample 1:

To do this - - divide the numerator by denominator.

? 16

9

8010

0000.916

096 4

56

0

2

32 80

5

80 0

–

–

–

–

.5625 16

9

0.

Fractions to DecimalsExample 2:

Divide the numerator by the denominator.

4

33.004 28

.7

2 0

5= .75

2 0 0

Your Turn

=

=

=

.3

.2

.1

.125

.375

.38

2

1

.5

8

3

5

1

5

5

Repeating Decimals

For many fractions, the decimal equivalent repeats without end. Three dots means that the pattern continues without end.

.032103210321 = .0321. . .

It can also be indicated by a line over the number(s) that repeat.

.037373737. . . = .037

Converting Decimals to Percents

A percent (%) is a comparison of any number to 100. The word percent means “per hundred”

You can use hundredth or percents to express the same number.

37 out of 100 squares are blue.0.37 of the squares are blue.37% of the squares are blue.

%3737.0100

37

Decimals to percent (%)

Percent means “per one hundred”.To convert a decimal to a percent you simply

multiply by 100.When you multiply by 100, you simply move the

decimal point over 2 places to the right!

.75 75 %. ... 75%

.125 12 5%. ... 12.5% or 12 ½%

Converting Decimals to Percents

To convert a decimal to a percent when given a decimal such as 0.6, this is “6 tenths”.

But a percent is out of 100.

Therefore the only equivalent decimal to 0.6 with the hundredths place represented is 0.60, or in words 60 hundredths.

Then the percent is 60%.

Extra Practice

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