Converting 5.1955 to a Fraction
Step-by-step explanation of how to convert 5.1955 to a fraction

Result

5.1955 =
10391
2000
Mixed number:
5
391
2000

Step 1: Identify the number of decimal places

The decimal 5.1955 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.1955 × 10000 = 51955

Step 3: Write as a fraction

5.1955 =

51955
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 51955 and 10000.

GCD(51955, 10000) = 5

Divide both the numerator and denominator by the GCD:

51955
10000

=

51955 ÷ 5
10000 ÷ 5

=

10391
2000
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