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Inga [223]
3 years ago
10

Rewrite 5/ 16 + 6/ 20 with a common denominator.

Mathematics
2 answers:
Troyanec [42]3 years ago
5 0
25/80 + 24/80 = 49/80. 16 and 20 both go into 80. !6 goes in 5 times so you multiply 5 by 5. 20 goes into 80 4 times so you multiply 4 by 4. 24/80 + 25/80 = 49/80.
Dahasolnce [82]3 years ago
5 0

Answer:

49/80

Step-by-step explanation:

For getting a common denominator, each term must be multiplied in numerator and denominator by the denominator of the other term.

For example:

  • The 5/16 term must be multiplied by 20 (both 5 and 16)
  • The 6/20 term must be multiplied by 16 (both 6 and 20)

The terms would be like this:

(5x20)/(16x20)+(6x16)/(20x16)

The result would be:

100/320+96/320

As common denominator is already obtained, the expression could be one.

(100+96)/320=196/320

Now, the previous expression could be simplified. If we divide the numerator and the denominator by 4, the following result is obtained:

(196/4)/(320/4)=49/80

The expression with common denominator would be: 49/80

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Answer:

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Step-by-step explanation:

It can be helpful to make use of the identities for angle sums and differences to rewrite the sum:

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Each of the sums in this product is of the same form, so each can be simplified using the identity ...

  sin(x) +cos(x) = √2·sin(x +π/4)

Then the given equation can be rewritten as ...

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Of course sin(x) = 0 for x = n·π, so these factors are zero when ...

  sin(x +π/4) = 0   ⇒   x = nπ -π/4

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The solutions are ...

  x ∈ {(n-1)π/4, (4n-1)π/16} . . . . . for any integer n

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Answer:

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Step-by-step explanation:

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Hope this helps!

Step-by-step explanation:

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Step-by-step explanation:

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