Converting 0.42415 to a Fraction
Step-by-step explanation of how to convert 0.42415 to a fraction

Result

0.42415 =
8483
20000

Step 1: Identify the number of decimal places

The decimal 0.42415 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.42415 × 100000 = 42415

Step 3: Write as a fraction

0.42415 =

42415
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 42415 and 100000.

GCD(42415, 100000) = 5

Divide both the numerator and denominator by the GCD:

42415
100000

=

42415 ÷ 5
100000 ÷ 5

=

8483
20000
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