Question

(-2+1 7/12):(3/8-1/6)•3 1/4​

Answer 1

$\bigg(-2+1\dfrac{7}{12}\bigg)\div\bigg(\dfrac{3}{8}-\dfrac{1}{6}\bigg)\cdot3\dfrac{1}{4}=\bigg(-1\dfrac{12}{12}+1\dfrac{7}{12}\bigg)\div\bigg(\dfrac{9}{24}-\dfrac{4}{24}\bigg)\cdot\dfrac{12}{4}=\\\\\\ =\bigg(-\dfrac{5}{12}\bigg)\div\dfrac{5}{24}\cdot\dfrac{12}{4}=\bigg(-\dfrac{5}{12}\bigg)\cdot\dfrac{24}{5}\cdot\dfrac{12}{4}=\bigg(-\dfrac{2}{1}\bigg)\cdot\dfrac{12}{4}=-\dfrac{12}{2}=\bold{-6}$

ОТВЕТ: -6

Answer 2

Let's break down the expression step by step:

(-2 + 1 7/12) represents a mixed number. To simplify it, we need to convert it to an improper fraction.

1 7/12 can be converted to an improper fraction as follows: 1 * 12 + 7 = 19 19/12

So, (-2 + 1 7/12) becomes: -2 + 19/12

Now, let's simplify the expression inside the parentheses:

-2 + 19/12

To combine the terms, we need a common denominator. The common denominator between 1 and 12 is 12, so we can rewrite -2 as -24/12:

-24/12 + 19/12

Now, we can add the fractions together:

(-24 + 19)/12

Simplifying the numerator:

-5/12

Next, let's simplify the expression after the colon (:) sign:

(3/8 - 1/6) • 3 1/4

To subtract fractions, we need a common denominator. The common denominator between 8 and 6 is 24:

3/8 - 1/6

(3 * 3)/(8 * 3) - (1 * 4)/(6 * 4)

9/24 - 4/24

Now, we can subtract the fractions:

(9 - 4)/24

5/24

Lastly, let's multiply the result by 3 1/4:

5/24 • 3 1/4

To multiply mixed numbers, we first convert them to improper fractions:

3 1/4 = 3 * 4 + 1 = 13/4

Now, we can multiply the fractions:

(5/24) * (13/4)

Multiplying the numerators and denominators:

(5 * 13)/(24 * 4)

65/96

So, the final result of the expression (-2+1 7/12):(3/8-1/6)•3 1/4 is 65/96.