Converting 0.040978 to a Fraction
Step-by-step explanation of how to convert 0.040978 to a fraction

Result

0.040978 =
20489
500000

Step 1: Identify the number of decimal places

The decimal 0.040978 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.040978 × 1000000 = 40978

Step 3: Write as a fraction

0.040978 =

40978
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40978 and 1000000.

GCD(40978, 1000000) = 2

Divide both the numerator and denominator by the GCD:

40978
1000000

=

40978 ÷ 2
1000000 ÷ 2

=

20489
500000
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