Converting 10.42152 to a Fraction
Step-by-step explanation of how to convert 10.42152 to a fraction

Result

10.42152 =
130269
12500
Mixed number:
10
5269
12500

Step 1: Identify the number of decimal places

The decimal 10.42152 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.42152 × 100000 = 1042152

Step 3: Write as a fraction

10.42152 =

1042152
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1042152 and 100000.

GCD(1042152, 100000) = 8

Divide both the numerator and denominator by the GCD:

1042152
100000

=

1042152 ÷ 8
100000 ÷ 8

=

130269
12500
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