Question

22/3*11/2+27/10(55/12-317/16)

Answer 1

Решение:

$\frac{22}{3} * \frac{11}{2} + \frac{27}{10}(\frac{55}{12} - \frac{317}{16}) = 360\frac{41}{48} \\\frac{55}{12} - \frac{317}{16} = \frac{220}{48} - \frac{951}{48} = -\frac{731}{48}\\\frac{22}{3} * \frac{11}{2} = \frac{121}{3} \\\frac{27}{10} * -\frac{731}{48} = -\frac{6579}{16}\\\frac{121}{3} + (-\frac{6579}{16}) = \frac{1936}{48} + (-\frac{19737}{48}) = -\frac{17801}{48} = 360\frac{41}{48}$

Answer 2

To solve this expression, we follow the order of operations (PEMDAS) which means we first perform any calculations inside parentheses, then any exponents or roots, then multiplication and division (performed from left to right), and finally addition and subtraction (performed from left to right).

Using this order, we can simplify the expression as follows:

22/3 * 11/2 + 27/10 (55/12 - 317/16)

= 22/3 * 11/2 + 27/10 * (55/12 - 317/16) (Multiplication comes before subtraction)

= 121/6 + 27/10 * (-133/48) (Multiplying fractions)

= 121/6 - 4431/160 (Multiplying fractions)

Now, we need to find a common denominator to add the two fractions.

121/6 = (121/6) * (160/160) = 19360/960

• 4431/160

= (19360 - 4431) / 960

= 14929/960

Therefore, the simplified expression is 14929/960.