Converting 0.72165 to a Fraction
Step-by-step explanation of how to convert 0.72165 to a fraction

Result

0.72165 =
14433
20000

Step 1: Identify the number of decimal places

The decimal 0.72165 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.72165 × 100000 = 72165

Step 3: Write as a fraction

0.72165 =

72165
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 72165 and 100000.

GCD(72165, 100000) = 5

Divide both the numerator and denominator by the GCD:

72165
100000

=

72165 ÷ 5
100000 ÷ 5

=

14433
20000
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