Converting 12.735 to a Fraction
Step-by-step explanation of how to convert 12.735 to a fraction

Result

12.735 =
2547
200
Mixed number:
12
147
200

Step 1: Identify the number of decimal places

The decimal 12.735 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

12.735 × 1000 = 12735

Step 3: Write as a fraction

12.735 =

12735
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12735 and 1000.

GCD(12735, 1000) = 5

Divide both the numerator and denominator by the GCD:

12735
1000

=

12735 ÷ 5
1000 ÷ 5

=

2547
200
Related Conversions
Other decimal to fraction conversions you might find useful