Converting 11.45144 to a Fraction
Step-by-step explanation of how to convert 11.45144 to a fraction

Result

11.45144 =
143143
12500
Mixed number:
11
5643
12500

Step 1: Identify the number of decimal places

The decimal 11.45144 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.45144 × 100000 = 1145144

Step 3: Write as a fraction

11.45144 =

1145144
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1145144 and 100000.

GCD(1145144, 100000) = 8

Divide both the numerator and denominator by the GCD:

1145144
100000

=

1145144 ÷ 8
100000 ÷ 8

=

143143
12500
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