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# Fraction, Decimal, Percent Conversions

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Tweet## Tyler Frodl

on 1 June 2011#### Transcript of Fraction, Decimal, Percent Conversions

1% 0.01 1/100

5% 0.05 1/20

10% 0.1 1/10

12½% 0.125 1/8

20% 0.2 1/5

25% 0.25 1/4

331/3% 0.333... 1/3

50% 0.5 1/2

75% 0.75 3/4

80% 0.8 4/5

90% 0.9 9/10

99% 0.99 99/100

100% 1

125% 1.25 5/4

150% 1.5 3/2

200% 2 A Half can be written...

As a fraction: 1/2

As a decimal: 0.5

As a percentage: 50% A Quarter can be written...

As a fraction:

1/4

As a decimal:

0.25

As a percentage:

25% To convert from percent to decimal: divide by 100, and remove the "%" sign.

The easiest way to divide by 100 is to move the decimal point 2 places to the left. So:

From Percent To Decimal

move the decimal point 2 places to the left, and remove the "%" sign. From Decimal to Percent

To convert from decimal to percent: multiply by 100, and add a "%" sign.

The easiest way to multiply by 100 is to move the decimal point 2 places to the right. So:

From Decimal To Percent

move the decimal point 2 places to the right, and add the "%" sign. From Fraction to Decimal

The easiest way to convert a fraction to a decimal is to divide the top number by the bottom number (divide the numerator by the denominator in mathematical language)

Example: Convert 2/5 to a decimal

Divide 2 by 5: 2 ÷ 5 = 0.4

Answer: 2/5 = 0.4 From Decimal to Fraction

To convert a decimal to a fraction needs a little more work.

Example: To convert 0.75 to a fraction

Steps Example

First, write down the decimal "over" the number 1 0.75 / 1

Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc) 0.75 × 100 / 1 × 100

(This makes it a correctly formed fraction) = 75 / 100

Then Simplify the fraction 3 / 4 From Fraction to Percentage

The easiest way to convert a fraction to a percentage is to divide the top number by the bottom number. then multiply the result by 100, and add the "%" sign.

Example: Convert 3/8 to a percentage

First divide 3 by 8: 3 ÷ 8 = 0.375,

Then multiply by 100: 0.375 x 100 = 37.5

Add the "%" sign: 37.5%

Answer: 3/8 = 37.5% From Percentage to Fraction

To convert a percentage to a fraction, first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above).

Example: To convert 80% to a fraction

Steps Example

Convert 80% to a decimal (=80/100): 0.8

Write down the decimal "over" the number 1 0.8 / 1

Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc) 0.8 × 10 / 1 × 10

(This makes it a correctly formed fraction) = 8 / 10

Then Simplify the fraction 4 / 5 Convert the decimal 0.875 to a percent?

A 0.875%

B 8.75%

C 87.5%

D 875% convert 1/2 to a percent?

50%

70%

80%

100% convert 1/4 to a decimal

.36

.25

.76 Fraction, Decimal, Percent Conversions A Half can be written...

As a fraction:

1/2

As a decimal:

0.5

As a percentage:

50%

Full transcript5% 0.05 1/20

10% 0.1 1/10

12½% 0.125 1/8

20% 0.2 1/5

25% 0.25 1/4

331/3% 0.333... 1/3

50% 0.5 1/2

75% 0.75 3/4

80% 0.8 4/5

90% 0.9 9/10

99% 0.99 99/100

100% 1

125% 1.25 5/4

150% 1.5 3/2

200% 2 A Half can be written...

As a fraction: 1/2

As a decimal: 0.5

As a percentage: 50% A Quarter can be written...

As a fraction:

1/4

As a decimal:

0.25

As a percentage:

25% To convert from percent to decimal: divide by 100, and remove the "%" sign.

The easiest way to divide by 100 is to move the decimal point 2 places to the left. So:

From Percent To Decimal

move the decimal point 2 places to the left, and remove the "%" sign. From Decimal to Percent

To convert from decimal to percent: multiply by 100, and add a "%" sign.

The easiest way to multiply by 100 is to move the decimal point 2 places to the right. So:

From Decimal To Percent

move the decimal point 2 places to the right, and add the "%" sign. From Fraction to Decimal

The easiest way to convert a fraction to a decimal is to divide the top number by the bottom number (divide the numerator by the denominator in mathematical language)

Example: Convert 2/5 to a decimal

Divide 2 by 5: 2 ÷ 5 = 0.4

Answer: 2/5 = 0.4 From Decimal to Fraction

To convert a decimal to a fraction needs a little more work.

Example: To convert 0.75 to a fraction

Steps Example

First, write down the decimal "over" the number 1 0.75 / 1

Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc) 0.75 × 100 / 1 × 100

(This makes it a correctly formed fraction) = 75 / 100

Then Simplify the fraction 3 / 4 From Fraction to Percentage

The easiest way to convert a fraction to a percentage is to divide the top number by the bottom number. then multiply the result by 100, and add the "%" sign.

Example: Convert 3/8 to a percentage

First divide 3 by 8: 3 ÷ 8 = 0.375,

Then multiply by 100: 0.375 x 100 = 37.5

Add the "%" sign: 37.5%

Answer: 3/8 = 37.5% From Percentage to Fraction

To convert a percentage to a fraction, first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above).

Example: To convert 80% to a fraction

Steps Example

Convert 80% to a decimal (=80/100): 0.8

Write down the decimal "over" the number 1 0.8 / 1

Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc) 0.8 × 10 / 1 × 10

(This makes it a correctly formed fraction) = 8 / 10

Then Simplify the fraction 4 / 5 Convert the decimal 0.875 to a percent?

A 0.875%

B 8.75%

C 87.5%

D 875% convert 1/2 to a percent?

50%

70%

80%

100% convert 1/4 to a decimal

.36

.25

.76 Fraction, Decimal, Percent Conversions A Half can be written...

As a fraction:

1/2

As a decimal:

0.5

As a percentage:

50%