# HOW TO CONVERT DECIMALS TO FRACTIONS

To convert a Decimals to a Fraction follow these steps.

• If we see one digit after the decimal, we have to multiply both numerator and denominator of the decimal by 10.
• If we see two digits after the decimal, we have to multiply both numerator and denominator of the decimal by 100.
• In general, based on the number of digits that we have after the decimal, we have to multiply the numerator and denominator by 10n.

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

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