Converting 4.09472 to a Fraction
Step-by-step explanation of how to convert 4.09472 to a fraction

Result

4.09472 =
12796
3125
Mixed number:
4
296
3125

Step 1: Identify the number of decimal places

The decimal 4.09472 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.09472 × 100000 = 409472

Step 3: Write as a fraction

4.09472 =

409472
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409472 and 100000.

GCD(409472, 100000) = 32

Divide both the numerator and denominator by the GCD:

409472
100000

=

409472 ÷ 32
100000 ÷ 32

=

12796
3125
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