Converting 0.678345 to a Fraction
Step-by-step explanation of how to convert 0.678345 to a fraction
Result
0.678345 =
135669
200000
Step 1: Identify the number of decimal places
The decimal 0.678345 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.678345 × 1000000 = 678345
Step 3: Write as a fraction
0.678345 =
678345
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 678345 and 1000000.
GCD(678345, 1000000) = 5
Divide both the numerator and denominator by the GCD:
678345
1000000
=
678345 ÷ 5
1000000 ÷ 5
=
135669
200000
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