Converting 0.678456 to a Fraction
Step-by-step explanation of how to convert 0.678456 to a fraction

Result

0.678456 =
84807
125000

Step 1: Identify the number of decimal places

The decimal 0.678456 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.678456 × 1000000 = 678456

Step 3: Write as a fraction

0.678456 =

678456
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 678456 and 1000000.

GCD(678456, 1000000) = 8

Divide both the numerator and denominator by the GCD:

678456
1000000

=

678456 ÷ 8
1000000 ÷ 8

=

84807
125000
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