Question

8/15 * (- 1/2) - 3/16 : (- 6/15)

Answer 1

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$\frac{8}{15} \times ( - \frac{1}{2} ) - \frac{3}{16} \div ( - \frac{6}{15} ) = - \frac{4}{15} + \frac{3}{16} \times \frac{15}{6} = - \frac{4}{15} + \frac{1}{16} \times \frac{15}{2} = - \frac{4}{15} + \frac{15}{32} = \frac{97}{480}$

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Answer 2

To solve this expression step by step, follow the order of operations (PEMDAS/BODMAS):

1. First, simplify the multiplication and division within parentheses:

8/15 * (-1/2) = -4/15 -3/16 : (-6/15) = -3/16 * (-15/6) = 45/96

2. Now, subtract the results:

-4/15 - 45/96

To subtract fractions, you need to have a common denominator, which in this case is 240 (the least common multiple of 15 and 96):

-4/15 * 16/16 = -64/240 45/96 * 5/5 = 225/240

Now, subtract the fractions:

(-64/240) - (225/240) = -289/240

So, 8/15 * (-1/2) - 3/16 : (-6/15) = -289/240.