Converting 11.44832 to a Fraction
Step-by-step explanation of how to convert 11.44832 to a fraction

Result

11.44832 =
35776
3125
Mixed number:
11
1401
3125

Step 1: Identify the number of decimal places

The decimal 11.44832 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.44832 × 100000 = 1144832

Step 3: Write as a fraction

11.44832 =

1144832
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1144832 and 100000.

GCD(1144832, 100000) = 32

Divide both the numerator and denominator by the GCD:

1144832
100000

=

1144832 ÷ 32
100000 ÷ 32

=

35776
3125
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