Converting 5.13875 to a Fraction
Step-by-step explanation of how to convert 5.13875 to a fraction

Result

5.13875 =
4111
800
Mixed number:
5
111
800

Step 1: Identify the number of decimal places

The decimal 5.13875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.13875 × 100000 = 513875

Step 3: Write as a fraction

5.13875 =

513875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 513875 and 100000.

GCD(513875, 100000) = 125

Divide both the numerator and denominator by the GCD:

513875
100000

=

513875 ÷ 125
100000 ÷ 125

=

4111
800
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