Converting 78.6 to a Fraction
Step-by-step explanation of how to convert 78.6 to a fraction

Result

78.6 =
393
5
Mixed number:
78
3
5

Step 1: Identify the number of decimal places

The decimal 78.6 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

78.6 × 10 = 786

Step 3: Write as a fraction

78.6 =

786
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 786 and 10.

GCD(786, 10) = 2

Divide both the numerator and denominator by the GCD:

786
10

=

786 ÷ 2
10 ÷ 2

=

393
5
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