Converting Fractions, Decimals And Percentages
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3Converting Fractions, Decimals and Percentages
Converting a Fraction to a Decimal
The line which separates each part of a fraction stands for division,
so ¾ can be seen as 3 divided by 4. Finding the answer to this
division will change the fractions to a decimal.
¾ = 3 ÷ 4 = 0.75
Converting a Fraction to a percentage
To convert a fraction to a percent start by changing the fraction to
a decimal then multiply by 100
¾ x 100 = 3 ÷ 4 x 100 = 0.75 x 100 = 75%
Converting a Decimal to a Fraction
Start by imagining the digits after the decimal point in a place value
chart, as this gives you the denominator,
e.g.0.345
in this number
the last digit is in the thousandths column, the denominator will be a
1000, so the decimal portion is worth 345 out of 1000.
Tens
Units
Decimal
Tenth
Hundredth
Thousandth
10
1
point
0.1
0.01
0.001
.
0
.
3
4
5
1
2
.
5
3
0.345 as a fraction is 345
1000
Fircroft College of Adult Education
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