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[-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

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Solution

Sure, let's break this down step by step:

  1. 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.

  2. Multiply this by -1/3 to get -1/3 * 2.5 = -5/6.

  3. Next, simplify 2 whole 2/5. This is the same as 12/5.

  4. 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.

  5. 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.

  6. -25/72 + 60/72 = 35/72.

So, the answer to the expression is 35/72.

This problem has been solved

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