Converting 86.5 to a Fraction
Step-by-step explanation of how to convert 86.5 to a fraction

Result

86.5 =
173
2
Mixed number:
86
1
2

Step 1: Identify the number of decimal places

The decimal 86.5 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

86.5 × 10 = 865

Step 3: Write as a fraction

86.5 =

865
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 865 and 10.

GCD(865, 10) = 5

Divide both the numerator and denominator by the GCD:

865
10

=

865 ÷ 5
10 ÷ 5

=

173
2
Related Conversions
Other decimal to fraction conversions you might find useful