Converting 40.986 to a Fraction
Step-by-step explanation of how to convert 40.986 to a fraction

Result

40.986 =
20493
500
Mixed number:
40
493
500

Step 1: Identify the number of decimal places

The decimal 40.986 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

40.986 × 1000 = 40986

Step 3: Write as a fraction

40.986 =

40986
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40986 and 1000.

GCD(40986, 1000) = 2

Divide both the numerator and denominator by the GCD:

40986
1000

=

40986 ÷ 2
1000 ÷ 2

=

20493
500
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