Converting 76.5232 to a Fraction
Step-by-step explanation of how to convert 76.5232 to a fraction

Result

76.5232 =
47827
625
Mixed number:
76
327
625

Step 1: Identify the number of decimal places

The decimal 76.5232 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

76.5232 × 10000 = 765232

Step 3: Write as a fraction

76.5232 =

765232
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 765232 and 10000.

GCD(765232, 10000) = 16

Divide both the numerator and denominator by the GCD:

765232
10000

=

765232 ÷ 16
10000 ÷ 16

=

47827
625
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