Converting 0.14416 to a Fraction
Step-by-step explanation of how to convert 0.14416 to a fraction

Result

0.14416 =
901
6250

Step 1: Identify the number of decimal places

The decimal 0.14416 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.14416 × 100000 = 14416

Step 3: Write as a fraction

0.14416 =

14416
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 14416 and 100000.

GCD(14416, 100000) = 16

Divide both the numerator and denominator by the GCD:

14416
100000

=

14416 ÷ 16
100000 ÷ 16

=

901
6250
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