What is the result of this calculation? 1/2 . 4/3 + 5/6 ÷ 7/8
To solve this calculation, we need to follow the order of operations, which states that we should perform multiplication and division before addition and subtraction.
First, let's simplify the expression 1/2 * 4/3:
1/2 * 4/3 = (1 * 4) / (2 * 3) = 4/6
Now, let's simplify the expression 5/6 ÷ 7/8:
5/6 ÷ 7/8 = (5/6) * (8/7) = (5 * 8) / (6 * 7) = 40/42
Finally, let's add the two simplified expressions:
4/6 + 40/42
To add these fractions, we need a common denominator. The least common multiple of 6 and 42 is 42.
- For 4/6, we multiply both the numerator and denominator by 7 to get 28/42.
- For 40/42, we don't need to make any changes.
Now, we can add the fractions:
28/42 + 40/42 = 68/42
68/42 is the simplified result of the calculation.