Converting 0.202378 to a Fraction
Step-by-step explanation of how to convert 0.202378 to a fraction

Result

0.202378 =
101189
500000

Step 1: Identify the number of decimal places

The decimal 0.202378 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.202378 × 1000000 = 202378

Step 3: Write as a fraction

0.202378 =

202378
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 202378 and 1000000.

GCD(202378, 1000000) = 2

Divide both the numerator and denominator by the GCD:

202378
1000000

=

202378 ÷ 2
1000000 ÷ 2

=

101189
500000
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