Converting 14.5396 to a Fraction
Step-by-step explanation of how to convert 14.5396 to a fraction

Result

14.5396 =
36349
2500
Mixed number:
14
1349
2500

Step 1: Identify the number of decimal places

The decimal 14.5396 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.5396 × 10000 = 145396

Step 3: Write as a fraction

14.5396 =

145396
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 145396 and 10000.

GCD(145396, 10000) = 4

Divide both the numerator and denominator by the GCD:

145396
10000

=

145396 ÷ 4
10000 ÷ 4

=

36349
2500
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