Changing Fractions to Decimals A PowerPoint for Ms Purcell’s 6 th Grade.

Changing Fractions to Decimals

A PowerPoint for Ms Purcell’s 6th Grade

Answer the following question:

Fractions and Decimals are botha. Whole Numbersb. Odd Numbersc. Rational Numbers

Answer to the Warm Up

• The answer is C – Fractions and Decimals are both rational numbers.

• Fractions and decimals are different ways of writing the same thing.


Changing Decimals to Fractions Decimals are fractions with a special set of denominators—tenths, hundredths, thousandths, etc. You know these numbers as powers of 10.Say the word name for the decimal out loud as a fraction. e.g., say five-tenths. Then write what you say. 5/10

Changing Decimals to Fractions

You try it: Say the decimal 0.64 as a fraction. If you said sixty-four hundredths you

were right! The word name for the decimal 0.64 is

the fraction sixty-four hundredths. Write: 64/100


• Try these fractions on your own. Say the decimal word name silently, then write what you said as a fraction:

0.25 0.6 0.02 0.006 0.30


Answers: 25/100 or twenty five one-hundredths 6/10 or six tenths 2/100 or two one hundredths 6/1000 or six one thousandths 30/100 or thirty one hundredths


How do we change a fraction to a decimal? Take a minute and talk about this with your

partner. Can you think of more than one way to solve

this problem?

Changing Fractions to Decimal

There are at least two ways to change a fraction to a decimal:

1. If our fraction has a denominator that is a power of ten, we can write the fraction as the equivalent decimal. Or

2. We can divide the denominator into the numerator--because a fraction is just a way of showing division.


If a fraction has a denominator that is a power of ten, then changing the fraction to a decimal is easy! Simply write the fraction as the equivalent decimal. Like this:

25/100 = twenty-five one hundredthsThe decimal equivalent is 0.25


What if our fraction does not have a denominator that is a power of 10?

If it’s not too much work, we can multiply the numerator and denominator by another fraction that will change the denominator to a power of 10.

Think: How can I change 3/25 to something over 100?

Write: 3/25 x 4/4 = 12/100 Now write 12/100 as the decimal 0.12


If it looks like too much work to change the denominator, then simply divide the denominator into the numerator like this:

Think: 2/8 Means two divided by eight

Write: 2 ÷ 8 = 0.25


• Now you try it. Convert the following fractions to decimals:

• 2/10• 3/5• 6/12• 2/16• 1/4


• Answers:• 2/10 x 10/10 = 20/100 = 0.20• 3/5 x 20/20 = 60/100 = 0.60• 6/12 = 6 ÷ 12 = 0.5• 2/16 = 2 ÷ 16 = 0.125• 1/4 x 25/25 = 25/100 = 0.25

How did you decide which ones to change to a power of 10 and which ones to divide?

Let’s play Jeopardy!We will play in groups of four. You will need a paper and pencil.

Fraction Power Point Game.pptx

Your Assignment

• Create a list of four fractions with a denominator of 10, 100, 1000 and 10,000 that are equivalent to the same decimal

• Create a list of five fractions that will need to be divided to change to decimals. Work the problems and show your work.

• Draw a table with 100 squares that is equal to 16/80. Write this as a fraction and a percent. Can you convert the denominator to

Changing Fractions to Decimals A PowerPoint for Ms Purcell’s 6 th Grade.

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