Converting 11.80625 to a Fraction
Step-by-step explanation of how to convert 11.80625 to a fraction

Result

11.80625 =
1889
160
Mixed number:
11
129
160

Step 1: Identify the number of decimal places

The decimal 11.80625 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.80625 × 100000 = 1180625

Step 3: Write as a fraction

11.80625 =

1180625
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1180625 and 100000.

GCD(1180625, 100000) = 625

Divide both the numerator and denominator by the GCD:

1180625
100000

=

1180625 ÷ 625
100000 ÷ 625

=

1889
160
Related Conversions
Other decimal to fraction conversions you might find useful