Converting 14.9834 to a Fraction
Step-by-step explanation of how to convert 14.9834 to a fraction

Result

14.9834 =
74917
5000
Mixed number:
14
4917
5000

Step 1: Identify the number of decimal places

The decimal 14.9834 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.9834 × 10000 = 149834

Step 3: Write as a fraction

14.9834 =

149834
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 149834 and 10000.

GCD(149834, 10000) = 2

Divide both the numerator and denominator by the GCD:

149834
10000

=

149834 ÷ 2
10000 ÷ 2

=

74917
5000
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