Question

(-5 1/16 + 1 1/8 ) ×(-5/6-3/14) ​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve this expression, we'll follow the order of operations (parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right). Let's break down the expression step by step:

1. Calculate the values inside the parentheses first: $(-5 \frac{1}{16} + 1 \frac{1}{8}) = (-5 - \frac{16}{16} + 1 + \frac{8}{8}) = (-5 - 1 + 1 + 1) = -4$.

   $(-5/6 - 3/14) = \left(\frac{-35}{42} - \frac{9}{42}\right) = \frac{-35 - 9}{42} = \frac{-44}{42} = -\frac{22}{21}$.

2. Multiply the two results together: $(-4) \times \left(-\frac{22}{21}\right)$.

To multiply fractions, multiply the numerators together and the denominators together: $\text{Numerator} = -4 \times -22 = 88$. $\text{Denominator} = 1 \times 21 = 21$.

Therefore, the simplified result of the expression $(-5 \frac{1}{16} + 1 \frac{1}{8}) \times (-\frac{5}{6} - \frac{3}{14})$ is $\frac{88}{21}$.