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
Firlakuza [10]
3 years ago
13

what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.

Mathematics
1 answer:
Leokris [45]3 years ago
5 0

Answer:

To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=\frac{p}{q} and b = Any fraction=\frac{u}{v}

now ,

\frac{p}{q} + \frac{u}{v}

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then ,\frac{p}{q} + \frac{u}{v}

=\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\

= {{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k

then ,

a + b=\frac{k}{r}





You might be interested in
I need help fast i will give out brinalist
Irina-Kira [14]
D. Tanisha is 6, and Bess is 12
7 0
3 years ago
Read 2 more answers
Ratios
a_sh-v [17]

Answer: hey hey hey shy shy

Step-by-step explanation:

mzksajd sjkaldjl slkasjdlaf

4 0
3 years ago
What is the domain of this table X 1 2 3 4 Y 2 4 3 2
Hoochie [10]
1,2,3,4 are the domain. The x column is always the domain.
3 0
3 years ago
You and six friends play a game or each person writes down his or her name on a scrap of paper and then the names are randomly d
Nostrana [21]

1 on 7 is the answer!

4 0
3 years ago
Read 2 more answers
Which scenario depicts two independent events? A teacher is calling on students to present their reports. He calls on Mario firs
Vsevolod [243]
Choosing the coaches of the basketball teams is independent because which girl he chooses does not influence nor is it influenced by the choice for the boy
4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me on #30 and explain thank you
    12·1 answer
  • May someone help me on this please
    12·1 answer
  • An apartment rents for 725 a month plus a security deposit. The total cost for the apartment is 9300 for the first year. Write a
    10·1 answer
  • Someone plz help on # 15 (idk what to do) :/
    15·1 answer
  • The coordinates of point A are (p, q) and coordinates of point B are (p+2q, q+2p). Provide your complete solutions and proofs in
    14·1 answer
  • Tim rolls a number cube labeled 1 through 6 and flips a coin. Which is the
    8·1 answer
  • Can somebody please help hurry please
    10·2 answers
  • Natalia solved the problem 74.4/12=6.2. complete the model with partial products check Natalia's work using multiplication
    10·1 answer
  • A football team has a 7 gallon jug of
    10·1 answer
  • PLEASE HELP ME ASAP!!!!!!<br><br><br><br> ty :)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!