What is the result of this calculation? 1/2 x 4/3 + 5/6 divided by 7/8=

A.1 27/48
B.1 13/21
C. 1 33/42
D. 1 19/48

1 answer

To simplify this expression, we first need to calculate 1/2 multiplied by 4/3. This equals 4/6 or 2/3.

Next, we need to add 5/6 to this result. To do this, we need to find a common denominator for 2/3 and 5/6, which is 6.

Multiplying 2/3 by 2/2, we get 4/6.

Adding 4/6 and 5/6, we get 9/6 or 3/2.

Finally, we need to divide 3/2 by 7/8. To divide fractions, we need to take the reciprocal of the second fraction and multiply.

The reciprocal of 7/8 is 8/7.

Multiplying 3/2 by 8/7, we get 24/14 or 12/7.

Therefore, the result of the calculation is 1 5/7 or 1 13/21.

So, the correct answer is B. 1 13/21.
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