Question

-(-20/27+3/8)+(-5 /8+4 7/27) / дробная черта

Answer 1

-(-79/216)+(-5/8+28/27)=79/216+89/216=7/9

Answer 2

To simplify the expression, let's perform the calculations step by step:

First, let's simplify the fractions within parentheses: -20/27 + 3/8 = (-20 * 8 + 27 * 3) / (27 * 8) = (-160 + 81) / 216 = -79/216

-5/8 + 4 7/27 = (-5 * 27 + 8 * (4 * 27 + 7)) / (8 * 27) = (-135 + 216) / 216 = 81/216

Now, we have: -(-79/216) + (81/216) / дробная черта

To add fractions, they need a common denominator: -79/216 + 81/216 = 2/216

Now, we have: -2/216 + (2/216) / дробная черта

To divide fractions, we invert the second fraction and multiply: 2/216 / дробная черта = 2/216 * 1/дробная черта = 2/216

Finally, we have simplified the expression to: -2/216 + 2/216 = 0/216 = 0