Question

What is the Least Common Denominator of the fraction 4 over x plus the fraction 2 x over x minus 1 plus the fraction x plus 3 over 2 x ?

Answer 1

2(x-1) ?

Answer 2

\[\frac{4}{x}+\frac{2x}{x-1}+\frac{x+3}{2x}\]
Write factors of each fraction's denominator
\[x= x\]
\[x-1=x-1\]
\[2x= 2 \times x\]
\[LCM= ( common\ terms ) \times ( uncommon\ terms)\]
so
Common terms= x (in first and third)
Uncommon terms = x-1 and 2
so
\[LCM= x \times (x-1) \times 2\]

Answer 3

so its 2x(x-1) i dont fallow