Converting 42.27264 to a Fraction
Step-by-step explanation of how to convert 42.27264 to a fraction

Result

42.27264 =
132102
3125
Mixed number:
42
852
3125

Step 1: Identify the number of decimal places

The decimal 42.27264 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

42.27264 × 100000 = 4227264

Step 3: Write as a fraction

42.27264 =

4227264
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4227264 and 100000.

GCD(4227264, 100000) = 32

Divide both the numerator and denominator by the GCD:

4227264
100000

=

4227264 ÷ 32
100000 ÷ 32

=

132102
3125
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