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Delicious77 [7]
3 years ago
6

Rove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0

Answer:

\frac{ad+bc}{bd}

Step-by-step explanation:

Greetings!

I'm~Isabelle~Williams~and~I~will~be~answering~your~question!

Let,\frac{a}{b} ~and ~\frac{c}{d}~be~two~rational~numbers, ~where~ b ~and~ d ~are~ not~ zero ~and~ a, ~b, ~c ~and \\~d ~are~ integers.

1.~Given:

\frac{a}{b} +\frac{c}{d}

2.~Now,~we~multiply~to~get~a~common~denominator:

\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}

3.~Then~simplify:

\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}=\frac{ad+bc}{bd}

4.~Since,b\neq 0,~d\neq 0,~then,~bd,~ad,~bc~and~ad+bc~are~integers~too.~So~the\\ fraction~will~be:

\frac{ad+bc}{bd}

Thus,~making~it~a~rational~number!

Hope~this~answer~helps!~and~have~an~amazing~day~ahead!

-Isabelle~Williams

Brut [27]3 years ago
8 0

Answer:

ad + cb / bd

Step-by-step explanation:

The answer is ad plus cb over bd

(Took test)

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Will mark brainliest plz help!
Elan Coil [88]

Answer:

56

Step-by-step explanation:

hope it helps

4 0
3 years ago
A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row
wolverine [178]

Answer:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S_{n} = \frac{n}{2} (a + l), where

  • a is the first term
  • l is the last term
  • n is the number of the terms

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

∴ a = 26

∵ The last row has 150 seats

∴ l = 150

∵ The theater seats are 2,816

∴ S_{n} = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = \frac{n}{2}(26 + 150)

∴ 2,816 = \frac{n}{2}(176)

∴ 2,816 = 88n

→ Divide both sides by 88

∴ 32 = n

∵ n represents the number of the rows

∴ The theater has 32 rows

3 0
2 years ago
The sum of three consecutive odd numbers is 51. Find the numbers. Show your work and
Pachacha [2.7K]
15,17,19 are all odd numbers and add to 51
4 0
2 years ago
What do I put in the empty boxes
Archy [21]

Answer:

your answer is below c:

Step-by-step explanation:

7 0
3 years ago
a. Un equipo de tenis de mesa ganó 21 juegos y perdió 12 juegos, ¿cuál es la razón entre ganados y perdidos?
True [87]

Answer:

The ratio between won and lost is \frac{7}{4}

Step-by-step explanation:

<u><em>The question in English is</em></u>

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

x=21\ games

y=12\ games

we know that

To find the ratio divide the number of games won by the number of games lost

so

\frac{x}{y}

substitute the values

\frac{21}{12}

Simplify

\frac{7}{4}

4 0
3 years ago
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