To convert a Decimals to a Fraction follow these steps.
Note :
Here n is number of digits after the decimal. Reduce the fraction as much as possible.
Write as a Fraction in Simplest Form :
Problem 1 :
0.3
Solution :
We consider the denominator as 1.
= (0.3)/1
Here the 3 is the tenth place after the decimal point.
So, we have to multiply the numerator and denominator by 10.
= [(0.3)/1) × (10/10)]
= 3/10
Problem 2 :
0.9
Solution :
We consider the denominator as 1.
= 0.9/1
Multiply both numerator and denominator by 10.
= [(0.9)/1) × (10/10)]
= 9/10
Problem 3 :
1.2
Solution :
We consider the denominator as 1.
= 1.2/1
Multiply both numerator and denominator by 10.
= [(1.2)/1) × (10/10)]
= 12/10
= 6/5
Converting the improper fraction to mixed fraction, we get
= 1 1/5
Problem 4 :
2.5
Solution :
We consider the denominator as 1.
= 2.5/1
Multiply both numerator and denominator by 10.
= [(2.5)/1) × (10/10)]
= 25/10
= 5/2
Converting the improper fraction to mixed fraction, we get
= 2 1/2
Problem 5 :
0.02
Solution :
We consider the denominator as 1.
= 0.02/1
Multiply both numerator and denominator by 100.
= [(0.02/1) × (100/100)]
= 2/100
= 1/50
Problem 6 :
0.07
Solution :
We consider the denominator as 1.
= 0.07/1
Multiply both numerator and denominator by 100.
= [(0.07/1) × (100/100)]
= 7/100
Problem 7 :
0.04
Solution :
We consider the denominator as 1.
= 0.04/1
Multiply both numerator and denominator by 100.
= [(0.04/1) × (100/100)]
= 4/100
= 1/25
Problem 8 :
0.125
Solution :
We consider the denominator as 1.
= 0.125/1
Multiply both numerator and denominator by 1000.
= [(0.125/1) × (1000/1000)]
= 125/1000
= 25/200
= 1/8
Write as a Fraction in Simplest Form :
Problem 9 :
0.27
Solution :
We consider the denominator as 1.
= 0.27/1
Multiply both numerator and denominator by 100.
= [(0.27)/1) × (100/100)]
= 27/100
Problem 10 :
0.84
Solution :
We consider the denominator as 1.
= 0.84/1
Multiply both numerator and denominator by 100.
= [(0.84)/1) × (100/100)]
= 84/100
= 42/50
= 21/25
Problem 11 :
0.025
Solution :
We consider the denominator as 1.
= 0.025/1
Multiply both numerator and denominator by 1000.
= [(0.025)/1) × (1000/1000)]
= 25/1000
= 1/40
Problem 12 :
0.275
Solution :
We consider the denominator as 1.
= 0.275/1
Multiply both numerator and denominator by 1000.
= [(0.275)/1) × (1000/1000)]
= 275/1000
= 55/200
= 11/40
Problem 13 :
0.825
Solution :
We consider the denominator as 1.
= 0.825/1
Multiply both numerator and denominator by 1000.
= [(0.825)/1) × (1000/1000)]
= 825/1000
= 165/200
= 33/40
Problem 14 :
0.00005
Solution :
We consider the denominator as 1.
= 0.00005/1
Multiply both numerator and denominator by 100000.
= [(0.00005)/1) × (100000/100000)]
= 5/100000
=1/20000
Problem 15 :
4.08
Solution :
We consider the denominator as 1.
= 4.08/1
Multiply both numerator and denominator by 100.
= [(4.08)/1) × (100/100)]
= 408/100
= 204/50
= 102/25
Converting the improper fraction to mixed fraction, we get
= 4 2/25
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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