Converting 4.1354 to a Fraction
Step-by-step explanation of how to convert 4.1354 to a fraction

Result

4.1354 =
20677
5000
Mixed number:
4
677
5000

Step 1: Identify the number of decimal places

The decimal 4.1354 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.1354 × 10000 = 41354

Step 3: Write as a fraction

4.1354 =

41354
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41354 and 10000.

GCD(41354, 10000) = 2

Divide both the numerator and denominator by the GCD:

41354
10000

=

41354 ÷ 2
10000 ÷ 2

=

20677
5000
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