Converting 42.82816 to a Fraction
Step-by-step explanation of how to convert 42.82816 to a fraction

Result

42.82816 =
133838
3125
Mixed number:
42
2588
3125

Step 1: Identify the number of decimal places

The decimal 42.82816 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

42.82816 × 100000 = 4282816

Step 3: Write as a fraction

42.82816 =

4282816
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4282816 and 100000.

GCD(4282816, 100000) = 32

Divide both the numerator and denominator by the GCD:

4282816
100000

=

4282816 ÷ 32
100000 ÷ 32

=

133838
3125
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