Converting 0.78442 to a Fraction
Step-by-step explanation of how to convert 0.78442 to a fraction
Result
0.78442 =
39221
50000
Step 1: Identify the number of decimal places
The decimal 0.78442 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.78442 × 100000 = 78442
Step 3: Write as a fraction
0.78442 =
78442
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 78442 and 100000.
GCD(78442, 100000) = 2
Divide both the numerator and denominator by the GCD:
78442
100000
=
78442 ÷ 2
100000 ÷ 2
=
39221
50000
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