Converting 11.742048 to a Fraction
Step-by-step explanation of how to convert 11.742048 to a fraction

Result

11.742048 =
366939
31250
Mixed number:
11
23189
31250

Step 1: Identify the number of decimal places

The decimal 11.742048 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

11.742048 × 1000000 = 11742048

Step 3: Write as a fraction

11.742048 =

11742048
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11742048 and 1000000.

GCD(11742048, 1000000) = 32

Divide both the numerator and denominator by the GCD:

11742048
1000000

=

11742048 ÷ 32
1000000 ÷ 32

=

366939
31250
Related Conversions
Other decimal to fraction conversions you might find useful