conversion of percentage to decimal

# Conversion of Percentage to Decimal

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In order of conversion of percentage to decimal, we follow the following steps :

1) Obtain the per cent which is to be converted to decimal.

2) Express the given per cent as a fraction with denominator as 100.

3) Write the fraction obtained in step 2 in decimal form.

Examples :

1) 65%

Solution :
First write the given number as a fraction with denominator 100.

65% = 65 /100

As there are two zeroes in 100 so shift the decimal to places to left.

65/100 = 0.65

2) 12%

Solution :
First write the given number as a fraction with denominator 100.

12% = 12 /100

As there are two zeroes in 100 so shift the decimal two places to left.

12/100 = 0.12

3) 7.4%

Solution :
First write the given number as a fraction with denominator 100.

7.4% = 7.4 /100 = 74/1000 ( when we shift the decimal to right 100 becomes 1000)

As there are two zeroes in 100 so shift the decimal 3 places to left.

7.4/100 = 0.074

4) 0.1%

Solution :
First write the given number as a fraction with denominator 100.

0.1% = 0.1 /100 = 1/1000 ( when we shift the decimal to right 100 becomes 1000)

As there are two zeroes in 100 so shift the decimal 3 places to left.

0.1/100 = 0.001

5) 0.05%

Solution :
First write the given number as a fraction with denominator 100.

0.05% = 0.05 /100 = 5/10000 ( when we shift the decimal to right 100 becomes 10000)

As there are two zeroes in 100 so shift the decimal 3 places to left.

0.05/100 = 0.0005

Percentage

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