Suppose you are converting 35/40 to a decimal. Which statements are correct?

Mathematics

1 answer:

Alex777 [14]2 years ago

7 0

Answer: B), C), and E)

Explanation for B:

This is one of the correct statements because to simplify the fraction into decimal form you would need to divide the numerator by the denominator, which in this case; 35 is the numerator and 40 is the denominator. Therefore divide 35 by 40 is a correct statement.

Explanation for C:

This is another correct statement because when you actually divide the number 35 from 40 into a decimal, you end up with the value 0.875.

Explanation for E:

Another correct statement. In decimal form, the fraction 35/40 terminates, meaning it does not go on forever, and it also does not repeat forever. When a decimal does not terminate or repeat, it is considered a rational number. Since the decimal 0.875 does neither, it is also considered a rational number.

I hope this helps you! :D

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3 years ago

20 points! Will mark the brainliest!

andrew-mc [135]

$\dfrac{ \dfrac{x+3}{4x^2-16} }{ \dfrac{2x^2+10x+12}{2x-4} }$

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Write the divide fraction horizontally:
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$= \dfrac{x+3}{4x^2-16} \div \dfrac{2x^2+10x+12}{2x-4}$

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Factorise the numerators and denominators when possible:
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$= \dfrac{x+3}{4(x+2)(x-2)} \div \dfrac{ 2(x + 3) (x + 2)}{2(x-2)}$

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Convert the divide fraction to multiplication fraction
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$= \dfrac{x+3}{4(x+2)(x-2)} \times \dfrac{2(x-2)}{2(x+3)(x+2)}$

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Cancel the factors
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$= \dfrac{1}{4(x+2)} \times \dfrac{1}{(x+2)}$

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Combine to single fraction
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$= \dfrac{1}{4(x+2)^2}$

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If someone could please explain or show me how to get the answer that would be great! I want to keep learning throughout this co

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