Converting 0.19792 to a Fraction
Step-by-step explanation of how to convert 0.19792 to a fraction

Result

0.19792 =
1237
6250

Step 1: Identify the number of decimal places

The decimal 0.19792 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.19792 × 100000 = 19792

Step 3: Write as a fraction

0.19792 =

19792
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 19792 and 100000.

GCD(19792, 100000) = 16

Divide both the numerator and denominator by the GCD:

19792
100000

=

19792 ÷ 16
100000 ÷ 16

=

1237
6250
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