Converting 0.22752 to a Fraction
Step-by-step explanation of how to convert 0.22752 to a fraction

Result

0.22752 =
711
3125

Step 1: Identify the number of decimal places

The decimal 0.22752 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.22752 × 100000 = 22752

Step 3: Write as a fraction

0.22752 =

22752
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 22752 and 100000.

GCD(22752, 100000) = 32

Divide both the numerator and denominator by the GCD:

22752
100000

=

22752 ÷ 32
100000 ÷ 32

=

711
3125
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