CONVERTING FRACTIONS, DECIMALS AND PERCENTS
PBCC
SLC Lake Worth Math Lab
CONVERTING FRACTIONS, DECIMALS AND PERCENTS
FRACTION
DECIMAL
To change a fraction to a decimal,
divide
the
numerator
by
the
denominator.
To change a decimal to a percent,
multiply by 100%:
PERCENT
To change a fraction to a percent,
? Change the fraction to a decimal.
0.6 = 0.6 ? 100% = 60%
? Change the decimal to a percent.
0.6
3
= 5 3.0 = 0.6
5
Or, move the decimal point 2 places to
the right and add the percent sign.
3
= 0.6 = 60%
5
0.6 = 0. 60 . = 60%
PERCENT
DECIMAL
FRACTION
To change a percent to a decimal,
drop the percent sign and multiply by
0.01:
To change a decimal to a fraction,
count the number of decimal places
To change a percent to a fraction,
1.2% = 1.2 ? 0.01 = 0.012
Or, move the decimal point 2 places
to the left.
1.2% = . 01. 2 = 0.012
? Drop the decimal point then place the
result over 1 followed by the same
number of 0's as decimal places.
? Write the answer in lowest
terms (reduce).
0.012 =
12
3
=
1000 250
? Change the percent to a decimal.
? Change the decimal to a fraction.
1.2% = 0.012 =
12
3
=
1000 250
or
? Multiply the fraction by 1/100.
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