What is the result of this calculation?
1/2 x 4/3 + 5/6 divided by 7/8=
The result of the calculation is 31/28 or 1.1071428571428572.
To calculate this expression step by step, we will begin by simplifying each fraction:
1/2 = 2/4
4/3 remains the same
5/6 remains the same
7/8 remains the same
Now, let's perform the multiplication and addition in the expression:
(2/4) * (4/3) = (2 * 4) / (4 * 3) = 8/12
Now, let's perform the division:
(8/12) / (7/8) = (8/12) * (8/7) = (8 * 8) / (12 * 7) = 64/84
Lastly, let's simplify the resulting fraction:
64/84 = (8 * 8) / (12 * 7) = 8/10 = 4/5
Therefore, the result of the calculation is 4/5.
To calculate this expression, we need to follow the order of operations (also known as PEMDAS).
First, let's simplify the multiplication of fractions:
1/2 x 4/3 = (1 x 4) / (2 x 3) = 4/6
Next, let's add the result to the next fraction:
4/6 + 5/6 = (4 + 5) / 6 = 9/6
Finally, let's divide this result by the last fraction:
9/6 divided by 7/8 = (9/6) x (8/7)
To multiply fractions, we multiply the numerators and denominators:
(9 x 8) / (6 x 7) = 72/42
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 6:
(72 ÷ 6) / (42 ÷ 6) = 12/7
So, the result of the given calculation is 12/7.