Converting 0.1942 to a Fraction
Step-by-step explanation of how to convert 0.1942 to a fraction

Result

0.1942 =
971
5000

Step 1: Identify the number of decimal places

The decimal 0.1942 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.1942 × 10000 = 1942

Step 3: Write as a fraction

0.1942 =

1942
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1942 and 10000.

GCD(1942, 10000) = 2

Divide both the numerator and denominator by the GCD:

1942
10000

=

1942 ÷ 2
10000 ÷ 2

=

971
5000
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