Converting 11.4372 to a Fraction
Step-by-step explanation of how to convert 11.4372 to a fraction

Result

11.4372 =
28593
2500
Mixed number:
11
1093
2500

Step 1: Identify the number of decimal places

The decimal 11.4372 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.4372 × 10000 = 114372

Step 3: Write as a fraction

11.4372 =

114372
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 114372 and 10000.

GCD(114372, 10000) = 4

Divide both the numerator and denominator by the GCD:

114372
10000

=

114372 ÷ 4
10000 ÷ 4

=

28593
2500
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