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10 POINTS PLEASE HELP WITH A AND B THEY SEEM EASY BUT I CANT DO THEM!!!!

10 POINTS PLEASE HELP WITH A AND B THEY SEEM EASY BUT I CANT DO THEM!!!!-example-1
User Aecavac
by
5.1k points

2 Answers

4 votes

Answer:

A. 2.667

B -0.9821

Explanation:

A.

First, we need to distribute the
(2)/(3) across the parenthesis.


(2)/(3)(-8) +
(2)/(3)(12)


(-16)/(3) +
(24)/(3)


(8)/(3)

2
(2)/(3)

2.667 --- convert to decimal with 3 places

B.

First, we need to convert the 2 mixed fractions into improper fractions. We can use this formula:

a
(b)/(c) =
(a*c+b)/(c)

4
(1)/(7) =
(29)/(7)

5
(1)/(8) =
(41)/(8)

Now, we need to make them have the same denominator so we can subtract them. We can do this by multiplying one fraction by the denominator of the other over itself, like this:


(a)/(b) +
(c)/(d)


(a)/(b) ×
(d)/(d)


(c)/(d) ×
(b)/(b)

For our case:


(29)/(7) ×
(8)/(8) =
(232)/(56)


(41)/(8) ×
(7)/(7) =
(287)/(56)

Now we can subtract them.


(232)/(56) -
(287)/(56)

-
(55)/(56)

-0.9821 --- convert to decimal

User Kwab
by
5.8k points
2 votes

So -8 + 12 = 4. Since we know a fraction is just division, we put 4 over 1. We do 2 over 3 times 4 over 1. That equals 8 over 3 = 2 and 2 over 3. we do 100/3 which is like 33.3333333. So we round that and put 33.3 and a line above the 3 in the tenths. So your answer for A is 2.333 or 2.33 or 2.3 with a line above the tenths. I think. i hope im not wrong, but if i am, srry?

User Mikael Rousson
by
5.8k points