1/2 times 4/3 plus 5/6 divided by 7/8

Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

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.

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