1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brilliant_brown [7]
3 years ago
10

Reduce To Simplest Form.8/6 + (-9/5) =​

Mathematics
2 answers:
blagie [28]3 years ago
5 0

Answer:

\frac{8}{6} +\frac{-9}{5}  = \frac{-7}{15}

Step-by-step explanation:

To add these two fraccions we need them to have the same denominator. In order to do so, we calculate the least common multiple (LCM) by factorizing the original denominators, selecting both common (<u>raised to the highest power</u>) and not common factors.

6 = 2*3; 5 = 5

LCM (3, 5) = 2*3*5 = 30

Now we rewrite the two fractions with their new denominator (30) and we find the numerator by dividing the new denominator with the old one and multiplying that result by the old numerator. Thus:

  • To calculate the numerator of the 1st fraction -> (30/6)*8 = 40
  • To calculate the numerator of the 2nd fraction -> (30/5)*(-9) = -54

Getting this: \frac{40}{30} +\frac{-54}{30} =  \frac{-14}{30}

Now we simplify the fraction by dividing it by 2 (we can also calculate the GCD [Greatest common divisor] {which is calculated by choosing only the common factors (<u>unlike the LCM</u>}). Thus:

  • Simplifying the numerator: -14 / 2 = -7
  • Simplifying the denominator [text]30/2 = 15[/tex]

Now we have the simplest form: \frac{-7}{15}

I hope this was helpful.

jarptica [38.1K]3 years ago
4 0

Answer:

Step-by-step explanation:

8/6 + (- 9/5) =

8/6 - 9/5 =

40/30 - 54/30 =

-14/30 reduces to - 7/15 <==

You might be interested in
Pleaseeeeeeeeeeeee helppppppppppppppppp
Fittoniya [83]
You really just have to do 12.4 x 2 = 24.8 because half of 24.8 is 12.4.
3 0
3 years ago
9=x/6-1<br><br><br> what is x ?<br> sry I have to type more so this counts
Inga [223]
I think the answer is x=60
4 0
3 years ago
the texas state legislature is composed of state senators and state representatives. the sum of the number of senators and repre
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

s + r = 181

r = 119 + s

s + 119 + s = 181

2s + 119 = 181

2s = 181 - 119

2s = 62

s = 62/2

s = 31 <=== there are 31 senators

r = 119 + s

r = 119 + 31

r = 150 <=== there are 150 representatives

4 0
3 years ago
A) make U subject of the formula E= m/2g(v^2-u^2)
ollegr [7]

Answer:

u = v2−2Egm−−−−−−−√

Step-by-step explanation:

2Eg = 2g (M2g(V2−U2)

2Eg = m(V2 - U2)

2Eg - mV2 - mU2

mU2 = mV2 - 2Eg

mU2m=mV2−2Egm

U2 = mV2−2Egm

= mV2m−2Egm

U2 = V2 - 2Egm

U = V2−2Egm−−−−−−−−√

7 0
3 years ago
Can someone please help me asap , I’ll mark brainlist !!!! Please
TEA [102]

Answer:

I think 72 feet because it is bigger in a shadow and that's the only bigger length

6 0
3 years ago
Other questions:
  • Find 4 consecutive intergers such that the sum of the secound and forth is 34
    9·1 answer
  • HELP PLZZZZZZZZZZZZZ
    5·2 answers
  • Please simplify the expression.
    7·1 answer
  • Jasper made a flag for his football team.He painted 1/2 of the flag blue and 1/2 of the flag yellow.He added stars to 1/3 of the
    5·2 answers
  • A local middle school has 99 computers and 333 students. What is the number of students per computer at the school? Write your a
    7·1 answer
  • The ratio of red counters to blue counters is 1 : 3
    7·1 answer
  • Set up the following word problem as a proportion and solve. Then write your answer as a complete sentence.
    7·1 answer
  • You burn 20 calories per minute biking for x minutes and 10 calories per minute walking for y minutes. You can spend a total of
    9·1 answer
  • Christian and Yong had some stickers in the ratio 2:3. After Yong gave Christian 15 stickers,
    15·1 answer
  • The point A(-7, 3) is reflected over the point (-4, 5) and its image is point B.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!