Converting 42.02264 to a Fraction
Step-by-step explanation of how to convert 42.02264 to a fraction

Result

42.02264 =
525283
12500
Mixed number:
42
283
12500

Step 1: Identify the number of decimal places

The decimal 42.02264 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

42.02264 × 100000 = 4202264

Step 3: Write as a fraction

42.02264 =

4202264
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4202264 and 100000.

GCD(4202264, 100000) = 8

Divide both the numerator and denominator by the GCD:

4202264
100000

=

4202264 ÷ 8
100000 ÷ 8

=

525283
12500
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