Converting 11.0744 to a Fraction
Step-by-step explanation of how to convert 11.0744 to a fraction

Result

11.0744 =
13843
1250
Mixed number:
11
93
1250

Step 1: Identify the number of decimal places

The decimal 11.0744 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.0744 × 10000 = 110744

Step 3: Write as a fraction

11.0744 =

110744
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 110744 and 10000.

GCD(110744, 10000) = 8

Divide both the numerator and denominator by the GCD:

110744
10000

=

110744 ÷ 8
10000 ÷ 8

=

13843
1250
Related Conversions
Other decimal to fraction conversions you might find useful