[-1/3*(5/8+1 whole 7/8)] divided by 2 whole 2/5 + 5/6
Question
[-1/3*(5/8+1 whole 7/8)] divided by 2 whole 2/5 + 5/6
Solution
Sure, let's break this down step by step:
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First, simplify the expression inside the brackets. 1 whole 7/8 is the same as 15/8. So, 5/8 + 15/8 = 20/8 = 2.5.
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Multiply this by -1/3 to get -1/3 * 2.5 = -5/6.
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Next, simplify 2 whole 2/5. This is the same as 12/5.
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Now, divide -5/6 by 12/5. When you divide by a fraction, it's the same as multiplying by its reciprocal, so this is the same as -5/6 * 5/12 = -25/72.
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Finally, add 5/6 to this. To add these fractions, you need to find a common denominator. The least common multiple of 72 and 6 is 72, so convert 5/6 to 60/72.
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-25/72 + 60/72 = 35/72.
So, the answer to the expression is 35/72.
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