Converting 56.82272 to a Fraction
Step-by-step explanation of how to convert 56.82272 to a fraction

Result

56.82272 =
177571
3125
Mixed number:
56
2571
3125

Step 1: Identify the number of decimal places

The decimal 56.82272 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

56.82272 × 100000 = 5682272

Step 3: Write as a fraction

56.82272 =

5682272
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5682272 and 100000.

GCD(5682272, 100000) = 32

Divide both the numerator and denominator by the GCD:

5682272
100000

=

5682272 ÷ 32
100000 ÷ 32

=

177571
3125
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