Converting 0.05195 to a Fraction
Step-by-step explanation of how to convert 0.05195 to a fraction

Result

0.05195 =
1039
20000

Step 1: Identify the number of decimal places

The decimal 0.05195 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.05195 × 100000 = 5195

Step 3: Write as a fraction

0.05195 =

5195
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5195 and 100000.

GCD(5195, 100000) = 5

Divide both the numerator and denominator by the GCD:

5195
100000

=

5195 ÷ 5
100000 ÷ 5

=

1039
20000
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