Converting 40.9584 to a Fraction
Step-by-step explanation of how to convert 40.9584 to a fraction

Result

40.9584 =
25599
625
Mixed number:
40
599
625

Step 1: Identify the number of decimal places

The decimal 40.9584 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.9584 × 10000 = 409584

Step 3: Write as a fraction

40.9584 =

409584
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409584 and 10000.

GCD(409584, 10000) = 16

Divide both the numerator and denominator by the GCD:

409584
10000

=

409584 ÷ 16
10000 ÷ 16

=

25599
625
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