Converting 4.1396 to a Fraction
Step-by-step explanation of how to convert 4.1396 to a fraction

Result

4.1396 =
10349
2500
Mixed number:
4
349
2500

Step 1: Identify the number of decimal places

The decimal 4.1396 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.1396 × 10000 = 41396

Step 3: Write as a fraction

4.1396 =

41396
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41396 and 10000.

GCD(41396, 10000) = 4

Divide both the numerator and denominator by the GCD:

41396
10000

=

41396 ÷ 4
10000 ÷ 4

=

10349
2500
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