Fraction & Decimal

7/31/2019 Fraction & Decimal

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Decimals, Fractions,and

Percents

By

Sushil A. Patil


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Definitions Decimal - Any number shown with a decimal

point; a number based upon tenths or

hundredths. ( 0.2, 0.375, 86.4 )

Fraction - One or more of the equal parts of awhole; a number usually expressed in the

form a/b. ( 1/3, 2 5/8, 7/4 )

Percent- The word percent comes from Latin

and means for each hundred or per

hundred. ( 70%, 6.5%, 4.09% )


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Converting Fractions to

Decimals

To convert a fraction to a decimal, divide the

numerator by the denominator. Do this until you get a

decimal that terminates or repeats. If it repeats, place

a bar (--- ) over the first number that repeats.

Example 1: Convert 3/4 to a decimal

3/4 = 34= 0.75

( terminating decimal)

Example 2: Convert 2/3 to a decimal

2/3= 23= 0.66 ( repeating decimal )


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Converting Fractions to

Percents

To convert a fraction to a percent, change the fraction

to a decimal ( by dividing the numerator by the

denominator ). Then multiply the decimal by 100 and

put a percent sign (%). Another way is to move the

decimal point two places to the right and put apercent sign (%).

Example 1: Convert 1/2 to a percent

1/2= 1 2 = 0.50

0.50x 100= 50.00=50% or 0.50= 0. 5 0= 50%

Example 2: Convert 1/3 to a percent

1/3= 13= 0.333

0.333x 100= 33.300=33.3% or 0.333=0. 3 3 3=33.3%


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Converting Decimals to

Fractions

In order to convert a decimal to a fraction, place thenumber that follows the decimal point over the placethat it is in ( tenths, hundredths, thousandths, etc.).Then simplify as necessary.

Example 1: Convert 0.7 to a fraction0.7= 7/10 ( 7 is in the tenths place )

Example 2: Convert 0.25 to a fraction

0.25= 25/100= 1/4 ( 25 is in the hundredths place. 1/4 is

the simplified form of 25/100)Example 3: Convert 1.625 to a fraction

1.625= 1 625/1000= 1 5/8 ( 625 is in the thousandthsplace. 5/8 is the simplified form of 625/1000)


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Converting Decimals to

Percents

In order to convert a decimal to a percent,

either multiply the decimal by 100 and write

the percent sign (%), or move the decimal

point two places to the right and write thepercent sign (%).

Example 1: Convert 0.20 to a percent

0.20x 100= 20.00= 20% or 0.20= 0. 2 0= 20%

Example 2: Convert 4.00 to a percent

4.00= 4.00x 100= 400.00= 400% or 4.00= 4. 0

0=400%


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Converting Percents to

Fractions When converting percents to fractions, change the

percent to a decimal ( divide the percent by 100 ormove the decimal point two places to the left ). Thenput the numbers behind the decimal point over the

place that it is in ( tenths, hundredths, thousandths,etc.). Then simplify as necessary.

Example 1: Convert 85% to a fraction

85% = 85100= 0.85= 85/100= 17/20 ( 85 is in thehundredths place. 17/20 is the simplified form of85/100 )

Example 2: Convert 12.5% to a fraction

12.5%= 12.5 100= 0.125= 125/1000=1/8 ( 125 is in thethousandths place. 1/8 is the simplified form of

125/1000 )


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Converting Percents to

Decimals When converting a percent to a decimal,

either divide the percent by 100 and put the

decimal point, or move the decimal point two

places to the left and put the decimal point.Example 1: Convert 72% to a decimal

72%= 72 100= 0.72 or 7 2 . 0= 0.72

Example 2: Convert 62.5% to a decimal62.5%= 62.5100= 0.625 or 6 2 . 5= 0.625


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Additional Explanations

0.78 or 78/100 or 78%

The grid above is divided into 100 equal parts. Of these

100 parts, 78 have been shaded. If we were to write this

as a decimal, it would be 0.78; written as a fraction, itwould be 78/100; and written as a percent, it would be

78%. All of these, 0.78, 78/100, and 78% are equal. Each

one represents 78 parts of the ( whole ) grid. Thus we

are able to convert fraction to decimals, decimals topercents, etc.

dDwxNTM


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Mathematics

is the doorand key to the

sciences.Sushil A. Patil

Fraction & Decimal

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