Converting decimals to fractions :
To convert decimal to fraction, we have to multiply the numerator and denominator by 10^{n}.
Here n represents the number of zeroes.
Number of zeroes can be decided based on the number of digits after the decimal.
Converting decimals to percentage :
To convert decimal to percentage, we have to multiply the decimal by 100%.
Convert the following to fractions and percentage.
Example 1 :
1.35
Solution :
Converting decimal to fraction :
We see two digits after the decimal, so we will multiply and divide it by 100.
1.35 x (100/100) = 135/100
Dividing both numerator and denominator by 5.
= 27/20
So, fractional form of 1.35 is 27/20.
Converting decimal to percentage :
= 1.35 x 100%
100 is having two zeroes, so move the decimal two digits to the right.
= 135%
So, percentage form of 1.35 is 135%.
Example 2 :
0.01
Solution :
Converting decimal to fraction :
We see two digits after the decimal, so we will multiply and divide it by 100.
0.01 x (100/100) = 1/100
It cannot be simplified further.
So, fractional form of 0.01 is 1/100.
Converting decimal to percentage :
= 0.01 x 100%
100 is having two zeroes, so move the decimal two digits to the right.
= 1%
So, percentage form of 0.01 is 1%.
Example 3 :
2.254
Solution :
Converting decimal to fraction :
We see three digits after the decimal, so we will multiply and divide it by 1000.
2.254 x (1000/1000) = 2254/1000
Dividing both numerator and denominator by 2.
= 1127/500
So, fractional form of 2.254 is 1127/500.
Converting decimal to percentage :
= 2.254 x 100%
100 is having two zeroes, so move the decimal two digits to the right.
= 225.4%
So, percentage form of 2254 is 225.4%.
Example 4 :
2.2
Solution :
Converting decimal to fraction :
We see one digit after the decimal, so we will multiply and divide it by 10.
2.2 x (10/10) = 22/10
Dividing both numerator and denominator by 2.
= 11/5
So, fractional form of 2.2 is 11/5.
Converting decimal to percentage :
= 2.2 x 100%
100 is having two zeroes, so move the decimal two digits to the right.
= 220%
So, percentage form of 2.2 is 220%.
Example 5 :
0.0625
Solution :
Converting decimal to fraction :
We see four digits after the decimal, so we will multiply and divide it by 10000.
0.0625 x (10000/10000) = 625/10000
Simplifying both numerator and denominator, we get
= 1/16
So, fractional form of 0.0625 is 1/16.
Converting decimal to percentage :
= 0.0625 x 100%
100 is having two zeroes, so move the decimal two digits to the right.
= 6.25%
So, percentage form of 0.0625 is 6.25%.
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