January 05, 2017
Converting between decimals, fractions and
percents
Fractions and decimals are ______________________.
A fraction tells us how many parts of a ____________ that we
have.
Similarly, a decimal also tells us how much of a whole we have, but
the whole is always __________.
Example: 4/5 --> We have 4 parts out of 5
0.43 --> We have 43 hundredths out of 1.
January 05, 2017
Changing Fractions to Decimals
Divide the ________________ by the _________________.
Example: 4/5
5
Try it!
6/7
8/12
4
January 05, 2017
Converting Decimals to Fractions
If we have a decimal we want to change into a fraction, we need to
"undo" the division that turned it into a decimal.
Use the value of the last digit to the right of the decimal as your
____________________.
Remove the decimal point and make that number your
____________________.
Reduce the fraction to lowest terms.
Try it!
0.6
0.32
January 05, 2017
Percents
Percents also show part of a whole. In this case the whole is
________.
Decimal --> percent: Multiply the number by
_______, or move the decimal point 2 places to the _________.
Fraction --> percent: Turn the fraction to a decimal and the
decimal to a percent.
Percent --> fraction: Remove the percent sign and place
it over a denominator of _________. Reduce the fraction.
Percent --> decimal: Remove the percent sign and divide by
_______. Or move the decimal 2 place to the __________.
January 05, 2017
Practice
What is 3/9 as a decimal?
What is 3/9 as a percent?
What is 66% as a fraction?
What is 66% as a decimal?