Converting 0.138264 to a Fraction
Step-by-step explanation of how to convert 0.138264 to a fraction

Result

0.138264 =
17283
125000

Step 1: Identify the number of decimal places

The decimal 0.138264 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.138264 × 1000000 = 138264

Step 3: Write as a fraction

0.138264 =

138264
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 138264 and 1000000.

GCD(138264, 1000000) = 8

Divide both the numerator and denominator by the GCD:

138264
1000000

=

138264 ÷ 8
1000000 ÷ 8

=

17283
125000
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