1 answer
(click or scroll down)
To solve this expression, we should follow the order of operations (PEMDAS) and simplify from left to right:
1/2 times 4/3 = (1 * 4) / (2 * 3) = 4/6 = 2/3
Now we have:
2/3 + 5/6 divided by 7/8
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(5/6) divided by (7/8) = (5/6) * (8/7) = (5 * 8) / (6 * 7) = 40/42 = 20/21
Now we have:
2/3 + 20/21
To add fractions, we need to find a common denominator:
The common denominator of 3 and 21 is 63. So we can rewrite the fractions as:
(2/3) * (21/21) + (20/21) * (3/3) = 42/63 + 60/63 = (42 + 60) / 63 = 102/63
Lastly, we can simplify the fraction:
102 divided by 63 = 6/7
Therefore, the final answer is 6/7.