Converting 52.92256 to a Fraction
Step-by-step explanation of how to convert 52.92256 to a fraction

Result

52.92256 =
165383
3125
Mixed number:
52
2883
3125

Step 1: Identify the number of decimal places

The decimal 52.92256 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

52.92256 × 100000 = 5292256

Step 3: Write as a fraction

52.92256 =

5292256
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5292256 and 100000.

GCD(5292256, 100000) = 32

Divide both the numerator and denominator by the GCD:

5292256
100000

=

5292256 ÷ 32
100000 ÷ 32

=

165383
3125
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