Answer:
![\frac{7}{3} =2\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%20%3D2%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
For the problem:
![\frac{5}{3} +\frac{4}{6} = ?](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%20%2B%5Cfrac%7B4%7D%7B6%7D%20%3D%20%3F)
The Least Common Multiple (LCM) of 3 and 6 is 6. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
![\frac{5}{3} +\frac{4}{6} =\frac{5*2}{3*2} +\frac{4}{6} =\frac{10}{6} +\frac{4}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%20%2B%5Cfrac%7B4%7D%7B6%7D%20%3D%5Cfrac%7B5%2A2%7D%7B3%2A2%7D%20%2B%5Cfrac%7B4%7D%7B6%7D%20%3D%5Cfrac%7B10%7D%7B6%7D%20%2B%5Cfrac%7B4%7D%7B6%7D)
Now that the fractions have like denominators, add the numerators:
![\frac{10}{6} +\frac{4}{6} =\frac{10+4}{6} =\frac{14}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B6%7D%20%2B%5Cfrac%7B4%7D%7B6%7D%20%3D%5Cfrac%7B10%2B4%7D%7B6%7D%20%3D%5Cfrac%7B14%7D%7B6%7D)
The Greatest Common Factor (GCF) of 14 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.
![\frac{14}{6} =\frac{14/2}{6/2} =\frac{7}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B6%7D%20%3D%5Cfrac%7B14%2F2%7D%7B6%2F2%7D%20%3D%5Cfrac%7B7%7D%7B3%7D)
7 ÷ 3 = 2R1, therefore:
![\frac{7}{3} =2\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%20%3D2%5Cfrac%7B1%7D%7B3%7D)
Answer:
x=91/36
Step-by-step explanation:
3x² (6x² - 13x - 5) =
3x² (2x - 5) (2x+1) .
The coefficient of x in this case is 1. (x*x = x^2)