Converting 4.0978 to a Fraction
Step-by-step explanation of how to convert 4.0978 to a fraction

Result

4.0978 =
20489
5000
Mixed number:
4
489
5000

Step 1: Identify the number of decimal places

The decimal 4.0978 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.0978 × 10000 = 40978

Step 3: Write as a fraction

4.0978 =

40978
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40978 and 10000.

GCD(40978, 10000) = 2

Divide both the numerator and denominator by the GCD:

40978
10000

=

40978 ÷ 2
10000 ÷ 2

=

20489
5000
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