Converting 6.40978 to a Fraction
Step-by-step explanation of how to convert 6.40978 to a fraction

Result

6.40978 =
320489
50000
Mixed number:
6
20489
50000

Step 1: Identify the number of decimal places

The decimal 6.40978 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

6.40978 × 100000 = 640978

Step 3: Write as a fraction

6.40978 =

640978
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 640978 and 100000.

GCD(640978, 100000) = 2

Divide both the numerator and denominator by the GCD:

640978
100000

=

640978 ÷ 2
100000 ÷ 2

=

320489
50000
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