Converting 5.14355 to a Fraction
Step-by-step explanation of how to convert 5.14355 to a fraction

Result

5.14355 =
102871
20000
Mixed number:
5
2871
20000

Step 1: Identify the number of decimal places

The decimal 5.14355 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.14355 × 100000 = 514355

Step 3: Write as a fraction

5.14355 =

514355
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 514355 and 100000.

GCD(514355, 100000) = 5

Divide both the numerator and denominator by the GCD:

514355
100000

=

514355 ÷ 5
100000 ÷ 5

=

102871
20000
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