Solve Complex Fraction: ((32×4+8)÷(35-27))÷(-2) Step-by-Step

Question

Solve the following equation:

(32×4+8) ⁣:(27+35)2= \frac{(32\times4+8)\colon(-27+35)}{-2}=

Video Solution

Solution Steps

00:00 Solve
00:04 Always solve parentheses first
00:23 Always solve multiplication and division before addition and subtraction
00:49 Let's continue calculating the parentheses
00:56 Let's continue solving according to the correct order of operations
01:03 And this is the solution to the question

Step-by-Step Solution

We begin by solving the two parentheses in the numerator of the fraction:

(32×4+8)=128+8=136 (32\times4+8)=128+8=136

(27+35)=8 (-27+35)=8

We obtain the following exercise:

136:82= \frac{136:8}{-2}=

172=8.5 \frac{17}{-2}=-8.5

Answer

-8.5