Answer:
(-(7 x + 272))/4
Explanation:
Simplify the following:
x/2 - (2 + 1/4) x - 70 - ( - 2)
Hint: | Put the fractions in 2 + 1/4 over a common denominator.
Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:
x/2 - 9/4 x - 70 - ( - 2)
Hint: | Multiply 4 and 2 together.
4×2 = 8:
x/2 - (1/48 + 1/4) x - 70 - ( - 2)
Hint: | Add the fractions over a common denominator to a single fraction.
8/4 + 1/4 = (8 + 1)/4:
x/2 - 9/4 x - 70 - ( - 2)
Hint: | Evaluate 8 + 1.
8 + 1 = 9:
x/2 - 9 x/4 - 70 - ( - 2)
Hint: | Multiply -1 and -2 together.
-(-2) = 2:
x/2 - (9 x)/4 - 70 + 2
Hint: | Put the fractions in x/2 - (9 x)/4 - 70 + 2 over a common denominator.
Put each term in x/2 - (9 x)/4 - 70 + 2 over the common denominator 4: x/2 - (9 x)/4 - 70 + 2 = (2 x)/4 - (9 x)/4 - 280/4 + 8/4:
(2 x)/4 - (9 x)/4 - 280/4 + 8/4
Hint: | Combine (2 x)/4 - (9 x)/4 - 280/4 + 8/4 into a single fraction.
(2 x)/4 - (9 x)/4 - 280/4 + 8/4 = (2 x - 9 x - 280 + 8)/4:
(2 x - 9 x - 280 + 8)/4
Hint: | Group like terms in 2 x - 9 x - 280 + 8.
Grouping like terms, 2 x - 9 x - 280 + 8 = (2 x - 9 x) + (8 - 280):
((2 x - 9 x) + (8 - 280))/4
Hint: | Combine like terms in 2 x - 9 x.
2 x - 9 x = -7 x:
(-7 x + (8 - 280))/4
Hint: | Evaluate 8 - 280.
8 - 280 = -272:
(-272 - 7 x)/4
Hint: | Factor a minus sign out of -7 x - 272.
Factor -1 out of -7 x - 272:
Answer: (-(7 x + 272))/4
1/2 x + (-70) - 2 1/4 x - (-2) = (-(7 x + 272))/4 = True