Converting 11.5752 to a Fraction
Step-by-step explanation of how to convert 11.5752 to a fraction

Result

11.5752 =
14469
1250
Mixed number:
11
719
1250

Step 1: Identify the number of decimal places

The decimal 11.5752 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.5752 × 10000 = 115752

Step 3: Write as a fraction

11.5752 =

115752
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 115752 and 10000.

GCD(115752, 10000) = 8

Divide both the numerator and denominator by the GCD:

115752
10000

=

115752 ÷ 8
10000 ÷ 8

=

14469
1250
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