Converting 0.782005 to a Fraction
Step-by-step explanation of how to convert 0.782005 to a fraction
Result
0.782005 =
156401
200000
Step 1: Identify the number of decimal places
The decimal 0.782005 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.782005 × 1000000 = 782005
Step 3: Write as a fraction
0.782005 =
782005
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 782005 and 1000000.
GCD(782005, 1000000) = 5
Divide both the numerator and denominator by the GCD:
782005
1000000
=
782005 ÷ 5
1000000 ÷ 5
=
156401
200000
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