Converting 14.7872 to a Fraction
Step-by-step explanation of how to convert 14.7872 to a fraction

Result

14.7872 =
9242
625
Mixed number:
14
492
625

Step 1: Identify the number of decimal places

The decimal 14.7872 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.7872 × 10000 = 147872

Step 3: Write as a fraction

14.7872 =

147872
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 147872 and 10000.

GCD(147872, 10000) = 16

Divide both the numerator and denominator by the GCD:

147872
10000

=

147872 ÷ 16
10000 ÷ 16

=

9242
625
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