Converting 0.782298 to a Fraction
Step-by-step explanation of how to convert 0.782298 to a fraction
Result
0.782298 =
391149
500000
Step 1: Identify the number of decimal places
The decimal 0.782298 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.782298 × 1000000 = 782298
Step 3: Write as a fraction
0.782298 =
782298
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 782298 and 1000000.
GCD(782298, 1000000) = 2
Divide both the numerator and denominator by the GCD:
782298
1000000
=
782298 ÷ 2
1000000 ÷ 2
=
391149
500000
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