Converting 0.208752 to a Fraction
Step-by-step explanation of how to convert 0.208752 to a fraction

Result

0.208752 =
13047
62500

Step 1: Identify the number of decimal places

The decimal 0.208752 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.208752 × 1000000 = 208752

Step 3: Write as a fraction

0.208752 =

208752
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 208752 and 1000000.

GCD(208752, 1000000) = 16

Divide both the numerator and denominator by the GCD:

208752
1000000

=

208752 ÷ 16
1000000 ÷ 16

=

13047
62500
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