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
statuscvo [17]
3 years ago
7

Find rational numbers between

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:

i know there's a lot of explanation. but it helps u for sure :)

Step-by-step explanation:

1)

-7 \ and \ \frac{1}{3} = \frac{-7}{1} \ and \ \frac{1}{3}\\\\LCM \ of \ 1 \ and\ 3 = 3\\\\\frac{-21}{3} \ and \ \frac{1}{3}\\\\To \ find \ rational \ numbers \ between \ \frac{-21}{3} \ and \ \frac{1}{3} \ write \ any \ number \ between \ -21 \ and \ 1 \ with \ denominator \ 3. \\\\That \ is, \  \frac{-20}{3}, \frac{-19}{3}, \frac{-18}{3}.....

2)

\frac{5}{9} \ and \ \frac{2}{3}\\\\Similarly \ take \ LCM \ of \ 9 \ and \ 3 = 9\\\\Since \ it \ is \ still \ complicated \ to \ find \ rational \ number \ between \ \frac{5}{9} \ and \ \frac{6}{9},

because \ there \ exists \ no\ natural \ number \ between \ 5 \ and \ 6.

We \ will \ multiply  \ numerator \ and \ denominator\ by\ 10. \\\\Therefore\  \frac{5}{9} \ and \ \frac{6}{9} \ becomes \ \frac{50}{90} \ and \  \frac{60}{90}.

Keeping \ denominator \ 90 \  write \ numbers \ from \  50 \ to  \ 60 \ in \ the\ numerator.\\\\That \ is , \frac{51}{90}, \frac{52}{90}, \frac{53}{90}, \frac{54}{90}, .\  .\  .

3)

LCM \ of \ 5 \ and \ 7 = 35\\\\\frac{-2}{5} \ and \ \frac{-3}{7}\  becomes \ \frac{-14}{35} \ and \ \frac{-15}{35}\\\\Now \ multiply \ denominator \ and \ numerator \ by \ 10\\\\\frac{-140}{350} \ and \ \frac{-150}{350}.\\\\Rational \ numbers  \ are \frac{-141}{350}, \frac{-142}{350}, \frac{-143}{350}, . \ . \ . \

Tip :

1. Make the denominator same.

2. Multiply numerator and denominator by 10 , 100 or 1000

3. Just write the natural numbers between the 2 numerators keeping denominator same.

You might be interested in
The percent of increase from 260 baggage handlers to 299 baggage handlers is what?
sladkih [1.3K]

Answer:

The percent of increase from 260 bagged handlers to 299 baggage handlers is 15%.

Hope I helped!

7 0
2 years ago
Read 2 more answers
Helpppppppppppp plsses​
Serggg [28]

Answer:

y = 8x-3

Step-by-step explanation:

7 0
2 years ago
What's the answer to 1&2 plzz
Dmitrij [34]
1. 2880 
2. 67%
 Its simple math just put in effort

4 0
3 years ago
Which of the following is equal to the rational expression when x -2 or -6?
kykrilka [37]

The given expression is

f(x) = \frac{3(x+2}{(x+2)(x+6)}

And since we have x+2 common in numerator and denominator, there is a hole at x+2=0, that is at x=-2

And a function is undefined when denominator is zero. And at x=-6, denominator become zero.

So, at x=-6, the function is undefined, or there is a vertical asymptote at x=-6 and hole at x=-2 .

4 0
3 years ago
Here is a list of the ingredients needed to make scones for 4 people.
Amiraneli [1.4K]

Answer:

She will need 350ml of milk



3 0
3 years ago
Read 2 more answers
Other questions:
  • Can't figure out the answer..
    5·1 answer
  • Find two consecutive odd integers such that the square of the first, added to 3 times the second is 24.
    7·1 answer
  • What is the value of x?
    8·1 answer
  • Which is the same as dividing a number by 10?
    13·2 answers
  • Decrease £189 by 38%
    6·1 answer
  • The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at
    11·1 answer
  • Solve for w: 2w<9+5w
    11·2 answers
  • HELP PLEASEEE it says solve for x
    9·2 answers
  • Kareem made a shirt using 1/2 yards of blue fabric and 1/8 yards of red fabric. How many more yards of blue fabric did Kareem us
    11·1 answer
  • Motorboat travels 125 miles in five hours going upstream it travels 175 miles going downstream in the same amount of time what i
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!