Converting 82.9 to a Fraction
Step-by-step explanation of how to convert 82.9 to a fraction

Result

82.9 =
829
10
Mixed number:
82
9
10

Step 1: Identify the number of decimal places

The decimal 82.9 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

82.9 × 10 = 829

Step 3: Write as a fraction

82.9 =

829
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 829 and 10.

GCD(829, 10) = 1

Divide both the numerator and denominator by the GCD:

829
10

=

829 ÷ 1
10 ÷ 1

=

829
10
Related Conversions
Other decimal to fraction conversions you might find useful