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How to transform decimal to fraction

Conversion stagesWrite the decimal portion as a portion of the digits to theright the the decimal period (numerator) and also a power of 10(denominator).Find the greatest usual divisor (gcd) that the numerator and thedenominator.Reduce the fraction by separating the numerator and also thedenominator v the gcd.Example #1

Convert 0.32 to fraction:

0.32 = 32/100

Find the greatest common divisor (gcd) that the numerator and the denominator:

gcd(32,100) = 4

Reduce the portion by splitting the numerator and the denominator with the gcd:

0.32 = (32/4) / (100/4) = 8/25

Example #2

Convert 2.56 come fraction:

2.56 = 2+56/100

Find the greatest common divisor (gcd) of the numerator and also the denominator:

gcd(56,100) = 4

Reduce the portion by separating the numerator and the denominator v the gcd:

2+56/100 = 2 + (56/4) / (100/4) = 2+14/25

Example #3

Convert 0.124 to fraction:

0.124 = 124/1000

Find the greatest common divisor (gcd) the the numerator and also the denominator:

gcd(124,1000) = 4

Reduce the fraction by separating the numerator and also the denominator with the gcd:

0.124 = (124/4) / (1000/4) = 31/250

How to convert repeating decimal come fraction

Example #1

Convert 0.333333... Come fraction:

x = 0.333333...

You are watching: What is 4 as a fraction

10x = 3.333333...

10x - x = 9x = 3

x = 3/9 = 1/3

Example #2

x = 0.0565656...

See more: Question: How Many Inches Are In 5 Miles In Inches? Convert 5 Mi To In

100x = 5.6565656...

100x - x = 99x = 5.6

990x = 56

x = 56/990 = 28/495

Decimal to portion conversion table

DecimalFraction
0.000011/100000
0.00011/10000
0.0011/1000
0.011/100
0.083333331/12
0.090909091/11
0.11/10
0.111111111/9
0.1251/8
0.142857141/7
0.166666671/6
0.21/5
0.222222222/9
0.251/4
0.285714292/7
0.33/10
0.333333331/3
0.3753/8
0.42/5
0.428571433/7
0.444444444/9
0.51/2
0.555555555/9
0.571428584/7
0.63/5
0.6255/8
0.666666672/3
0.77/10
0.714285715/7
0.753/4
0.777777787/9
0.84/5
0.833333335/6
0.857142866/7
0.8757/8
0.888888898/9
0.99/10
1.111/10
1.26/5
1.255/4
1.313/10
1.47/5
1.53/2
1.68/5
1.717/10
1.757/4
1.89/5
1.919/10
2.55/2