Converting 4.01216 to a Fraction
Step-by-step explanation of how to convert 4.01216 to a fraction

Result

4.01216 =
12538
3125
Mixed number:
4
38
3125

Step 1: Identify the number of decimal places

The decimal 4.01216 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.01216 × 100000 = 401216

Step 3: Write as a fraction

4.01216 =

401216
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 401216 and 100000.

GCD(401216, 100000) = 32

Divide both the numerator and denominator by the GCD:

401216
100000

=

401216 ÷ 32
100000 ÷ 32

=

12538
3125
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