Converting 6.786 to a Fraction
Step-by-step explanation of how to convert 6.786 to a fraction
Result
6.786 =
3393
500
Mixed number:
6
393
500
Step 1: Identify the number of decimal places
The decimal 6.786 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.786 × 1000 = 6786
Step 3: Write as a fraction
6.786 =
6786
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6786 and 1000.
GCD(6786, 1000) = 2
Divide both the numerator and denominator by the GCD:
6786
1000
=
6786 ÷ 2
1000 ÷ 2
=
3393
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions