Question

Evaluate the problem below. Please show all your work for full credit. Highlight or -4 1/2+5 2/3

Answer 1

Answer:

$\frac{7}{6}$

Step-by-step explanation:

$-4\frac{1}{2} + 5\frac{2}{3} =$

For the first term you have to multiply 2x(-4) and add 1, for the second term you have to multiply 3x5 and add 2.

$\frac{2(-4)+1}{2} + \frac{3(5)+2}{3} =$

$-\frac{9}{2} +\frac{17}{3} =$

Now you need to find the lowest common multiple between the denominators, just cross multiply as it is shown:

$-\frac{9}{2} (\frac{3}{3} )+\frac{17}{3} (\frac{2}{2} )=$

$-\frac{27}{6} +\frac{34}{6} = \frac{7}{6}$

finally you get the result by doing a substraction = 7/6, or 1$\frac{1}{6}$