Converting 32.8768 to a Fraction
Step-by-step explanation of how to convert 32.8768 to a fraction

Result

32.8768 =
20548
625
Mixed number:
32
548
625

Step 1: Identify the number of decimal places

The decimal 32.8768 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

32.8768 × 10000 = 328768

Step 3: Write as a fraction

32.8768 =

328768
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 328768 and 10000.

GCD(328768, 10000) = 16

Divide both the numerator and denominator by the GCD:

328768
10000

=

328768 ÷ 16
10000 ÷ 16

=

20548
625
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