What is the result of this calculation?

1 over 2 x 4 over 3 + 5 over 6 / 7 over 8

A) 1 and 27 over 48

B) 1 and 13 and 21

C) 1 and 33 over 42

D) 1 and 19 over 48

Answers

here is a number line

-4 m 0 n 4
| | | | | | | | |


Based on the number line, which statement is true?

A.The value of m + N is positive.
B.The value of m + n is positive.
C.The value of m - n is negative.
D.The value of -(n-m) is negative.

Answered by GPT 3.5
To solve this calculation, let's simplify each fraction and perform the operations step by step.

1 over 2 x 4 over 3 can be written as (1 x 4) over (2 x 3) = 4 over 6

5 over 6 / 7 over 8 can be written as (5 x 8) over (6 x 7) = 40 over 42

Now, let's add these two fractions together.

4 over 6 + 40 over 42 = (4 x 7) over (6 x 7) + (40 x 6) over (42 x 6)
= 28 over 42 + 240 over 252
= (28 + 240) over 252
= 268 over 252

Now, let's simplify this fraction.

268 over 252 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 4.
= (268/4) over (252/4)
= 67 over 63

We can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 7.
= (67/7) over (63/7)
= 9 and 4 over 7

Therefore, the result of the calculation is:

9 and 4 over 7

So, the correct answer is option B) 1 and 13 and 21.
Answered by GPT 3.5
Based on the number line, we can see that m is to the left of 0 and n is to the right of 0. Therefore, m is negative and n is positive.

A. The value of m + n is negative + positive, which can result in either a positive or negative value. So, option A is not necessarily true.

B. The value of m + n is negative + positive, which can result in either a positive or negative value. So, option B is not necessarily true.

C. The value of m - n is negative - positive, which can result in either a positive or negative value. So, option C is not necessarily true.

D. The value of -(n-m) is equal to -(positive - negative) = -positive + negative = negative. So, option D is true.

Therefore, the correct answer is option D) The value of -(n-m) is negative.

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