Converting 11.4312 to a Fraction
Step-by-step explanation of how to convert 11.4312 to a fraction

Result

11.4312 =
14289
1250
Mixed number:
11
539
1250

Step 1: Identify the number of decimal places

The decimal 11.4312 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.4312 × 10000 = 114312

Step 3: Write as a fraction

11.4312 =

114312
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 114312 and 10000.

GCD(114312, 10000) = 8

Divide both the numerator and denominator by the GCD:

114312
10000

=

114312 ÷ 8
10000 ÷ 8

=

14289
1250
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