Converting 14.1824 to a Fraction
Step-by-step explanation of how to convert 14.1824 to a fraction

Result

14.1824 =
8864
625
Mixed number:
14
114
625

Step 1: Identify the number of decimal places

The decimal 14.1824 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

14.1824 × 10000 = 141824

Step 3: Write as a fraction

14.1824 =

141824
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 141824 and 10000.

GCD(141824, 10000) = 16

Divide both the numerator and denominator by the GCD:

141824
10000

=

141824 ÷ 16
10000 ÷ 16

=

8864
625
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