Converting 40.9616 to a Fraction
Step-by-step explanation of how to convert 40.9616 to a fraction

Result

40.9616 =
25601
625
Mixed number:
40
601
625

Step 1: Identify the number of decimal places

The decimal 40.9616 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.9616 × 10000 = 409616

Step 3: Write as a fraction

40.9616 =

409616
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409616 and 10000.

GCD(409616, 10000) = 16

Divide both the numerator and denominator by the GCD:

409616
10000

=

409616 ÷ 16
10000 ÷ 16

=

25601
625
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