Converting 17.2 to a Fraction
Step-by-step explanation of how to convert 17.2 to a fraction

Result

17.2 =
86
5
Mixed number:
17
1
5

Step 1: Identify the number of decimal places

The decimal 17.2 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

17.2 × 10 = 172

Step 3: Write as a fraction

17.2 =

172
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 172 and 10.

GCD(172, 10) = 2

Divide both the numerator and denominator by the GCD:

172
10

=

172 ÷ 2
10 ÷ 2

=

86
5
Related Conversions
Other decimal to fraction conversions you might find useful