Converting 4.01978 to a Fraction
Step-by-step explanation of how to convert 4.01978 to a fraction

Result

4.01978 =
200989
50000
Mixed number:
4
989
50000

Step 1: Identify the number of decimal places

The decimal 4.01978 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.01978 × 100000 = 401978

Step 3: Write as a fraction

4.01978 =

401978
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 401978 and 100000.

GCD(401978, 100000) = 2

Divide both the numerator and denominator by the GCD:

401978
100000

=

401978 ÷ 2
100000 ÷ 2

=

200989
50000
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