Converting 40.3584 to a Fraction
Step-by-step explanation of how to convert 40.3584 to a fraction

Result

40.3584 =
25224
625
Mixed number:
40
224
625

Step 1: Identify the number of decimal places

The decimal 40.3584 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.3584 × 10000 = 403584

Step 3: Write as a fraction

40.3584 =

403584
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 403584 and 10000.

GCD(403584, 10000) = 16

Divide both the numerator and denominator by the GCD:

403584
10000

=

403584 ÷ 16
10000 ÷ 16

=

25224
625
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