conversions
Changing Decimals to Fractions
Standard
6.N.5 Identify and determine common equivalent fractions, mixed numbers, decimals, and percents.
Cluster
C2
Vocabulary
Simplest form-when the numerator and denominator have a GCF of 1
Mixed number- the sum of a whole number and a fraction part
Objective
To write a decimal as a fraction
Lesson
Example: 432.567
The 2 is in the ones place.
The 3 is in the tens place.
The 4 is in the hundreds place.
To the right of the decimal place…
The 5 is in the tenths place.
The 6 is in the hundredths place.
The 7 is in the thousandths place.
The number is read as:
"Four hundred thirty-two and five hundred sixty seven thousandths."
The Relationship Between Fractions and Decimals
The simplest of these conversions comes when the denominator is or can be very easily converted into a multiple of ten. This is the case for the previous two examples. In the next example, we cannot easily change the denominator, so we use the fraction bar as a division sign.
Practice
If you need extra practice click on the Online Tutorial that is used with our Textbook
Click on Learn the lesson
