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love history [14]
3 years ago
11

How to add and subtract rational numbers in fraction form?

Mathematics
1 answer:
Daniel [21]3 years ago
5 0
First you have to convert  the denominators to the Lowest Common Multiple (unless the denominators are equal, of course).

Example   1/4 + 1/2

The LCM of 2 and 4 = 4   so we can write 1/2  as 1*2/2*2 = 2/4. 
Now we can add:-
1/4 + 2/4 = 3/4.

Same thing goes for subtraction.

Example 2:-

5/6 - 1/7  :- 
LCM of 6 and 7  = 6*7 = 42  so we have:-
5*7 / 6*7   - 1*6 / 7*6  
= 35/42 - 6/42  =  29/42
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Allison is working two summer jobs, making $12 per hour lifeguarding and $8 per hour washing cars. Last week Allison worked 3 mo
timama [110]

Answer:

Allison worked 6 hours lifeguarding and 3 hours washing cars.

Step-by-step explanation:

Let

Number of hours Allison worked lifeguarding last week = x

Number of hours Allison worked washing cars last week = y

1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then

x-y=3

<u>Lifeguarding:</u>

$12 per hour

$12x in x hours.

<u>Washing cars:</u>

$8 pere hour

$8y in y hours.

2. Allison earned a total of $96, hence

12x+8y=96

You get the system of two equations:

\left\{\begin{array}{l}x-y=3\\ \\12x+8y=96\end{array}\right.

Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.

3 0
3 years ago
Please show work and answer thx
ASHA 777 [7]

Answer:

d. m+ 3 = 15

Step-by-step explanation:

it explains you have to add m to 3 so it can't be m + 15. also, its says equals to 15 so 15 will be after the equal sign.

hope this helped... branliest please :)

4 0
3 years ago
What is the slope of the line that passes through the points (2,-3) and (-2,5)
Likurg_2 [28]

Answer:

-2

Step-by-step explanation:

m = 5-(-3) / -2-2

m = 5+3/-4

m = 8/-4

m = 2/-1

m = -2

8 0
2 years ago
Which of the following are possible rational roots of the polynomial function? Check all that apply. F(x) = 5 x2-3x+3
Xelga [282]

Answer:

Which of the following are possible rational roots of the polynomial function? Check all that apply. F(x) = 5 x2-3x+3

A. ±3

B. ±1

<em><u>C. ±1/3</u></em>

D. ±5

E. ±1/5

7 0
2 years ago
PLEASE HELP PLEASE
Roman55 [17]

Answer:

8

Step-by-step explanation:

We have, 25% × x = 200

or,

25

100

× x = 200

Multiplying both sides by 100 and dividing both sides by 25,

we have x = 200 ×

100

25

x = 800

If you are using a calculator, simply enter 200×100÷25, which will give you the answer.

So now that you have the original number you just need to find 1% of 800

1% of 800 is 8

3 0
2 years ago
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