Question

Solve the following and simplify to lowest term:
$\frac{ - 3}{2} + \frac{6}{5} + \frac{5}{5} + \frac{ - 5}{3} + \frac{ - 4}{4 }$
​

Answer 1

ANSWER

Lowest term is

$\boxed{\textbf{\large{( -59)/30}}}$

Explanation :

$= \frac{ - 3}{2} + \frac{6}{5} + \frac{5}{5} + \frac{ - 5}{3} + \frac{ - 4}{4}$

$= \frac{ - 3}{2} + \frac{6}{5} + 1 + \frac{ - 5}{3} + ( - 1)$

$= \frac{ - 3}{2} + \frac{6 + 5}{5} + \frac{(( - 5) + ( - 1)3}{3}$

$= \frac{ - 3}{2} + \frac{11}{5} + \frac{( - 8)}{3}$

$= \frac{(( - 15) + 22)}{10} + \frac{( - 8)}{3}$

$= \frac{7}{10} + \frac{ (- 8)}{3}$

$= \frac{(21 + ( - 80))}{30}$

$= \frac{( - 59)}{30}$

$\boxed{\textbf{\large{( -59)/30}}}$

☑ You can refer the principal 'BODMAS'

[BODMAS ] stands for

B = Brackets

O = Orders

D= Division

M= Multiplication

A = Addition

S = Subtraction

☑ simultaneously first solve the bracket, then orderly take a operations division, after division do multiplication, then addition and lastly subtraction.

Answer 2

Answer:

Your answer is - 59/30

Step-by-step explanation:

-3/2 + 6/5 + 5/5 + (-5/3) + (-4/4)

-3/2 + 6/5 + 1 -5/3 -1 (-1 and +1 will be canceled)

-3/2 + 6/5 - 5/3 (take LCM)

(-45 + 36 - 50)/30

(-45 - 14)/30

= -59/30

=1.96 (approx)