Converting 4.1196 to a Fraction
Step-by-step explanation of how to convert 4.1196 to a fraction

Result

4.1196 =
10299
2500
Mixed number:
4
299
2500

Step 1: Identify the number of decimal places

The decimal 4.1196 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.1196 × 10000 = 41196

Step 3: Write as a fraction

4.1196 =

41196
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41196 and 10000.

GCD(41196, 10000) = 4

Divide both the numerator and denominator by the GCD:

41196
10000

=

41196 ÷ 4
10000 ÷ 4

=

10299
2500
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