Question

−11 1/12+(−7 1/14) =

Answer 1

Ответ:

-18 13/84

Пошаговое объяснение:

−11 1/12+(−7 1/14) = -18 13/84

Answer 2

Ответ:

-18 13/84.

Пошаговое объяснение:

11 1/12 - 11 7/84

7 1/14 - 7 6/84

-11 7/84 + -(7 6/84) = -18 13/84

Answer 3

To solve this expression, first, let's convert the mixed numbers into improper fractions:

$$-11 \frac{1}{12} + (-7 \frac{1}{14}) = -\left(11 + \frac{1}{12}\right) - \left(7 + \frac{1}{14}\right)$$

Now, find a common denominator for $12$ and $14$, which is $84$. Rewrite the expression with this common denominator:

$$- \left(11 \times \frac{7}{7} \times \frac{84}{12} + \frac{1}{12} \times \frac{84}{12}\right) - \left(7 \times \frac{6}{6} \times \frac{84}{14} + \frac{1}{14} \times \frac{84}{14}\right)$$

Simplify the fractions inside the parentheses:

$$- \left(\frac{11 \times 7 \times 84}{84} + \frac{1 \times 84}{12 \times 84}\right) - \left(\frac{7 \times 6 \times 84}{84} + \frac{1 \times 84}{14 \times 84}\right)$$

$$- \left(\frac{6774}{84} + \frac{84}{1008}\right) - \left(\frac{3528}{84} + \frac{84}{1176}\right)$$

Now, find common denominators again for the fractions inside the parentheses, which is $1008$ for the first parentheses and $1176$ for the second parentheses:

$$- \left(\frac{6774 \times 12}{12 \times 84} + \frac{84 \times 12}{12 \times 84}\right) - \left(\frac{3528 \times 14}{14 \times 84} + \frac{84 \times 14}{14 \times 84}\right)$$

Simplify further:

$$- \left(\frac{81288}{1008} + \frac{1008}{1008}\right) - \left(\frac{49488}{1176} + \frac{1176}{1176}\right)$$

$$- \left(\frac{82296}{1008}\right) - \left(\frac{50664}{1176}\right)$$

Now, find a common denominator for these two fractions, which is $1008 \times 1176 = 1181568$:

$$- \left(\frac{82296 \times 1176}{1008 \times 1176}\right) - \left(\frac{50664 \times 1008}{1176 \times 1008}\right)$$

$$- \left(\frac{96602016}{1181568}\right) - \left(\frac{51059232}{1181568}\right)$$

Combine the fractions:

$$- \left(\frac{96602016 + 51059232}{1181568}\right)$$

$$- \left(\frac{147561248}{1181568}\right)$$

Now, divide the numerator by the denominator:

$$- \left(\frac{124}{1}\right)$$

The final answer is $-124$.