Converting 4.15216 to a Fraction
Step-by-step explanation of how to convert 4.15216 to a fraction

Result

4.15216 =
25951
6250
Mixed number:
4
951
6250

Step 1: Identify the number of decimal places

The decimal 4.15216 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.15216 × 100000 = 415216

Step 3: Write as a fraction

4.15216 =

415216
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 415216 and 100000.

GCD(415216, 100000) = 16

Divide both the numerator and denominator by the GCD:

415216
100000

=

415216 ÷ 16
100000 ÷ 16

=

25951
6250
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