Question

(14-2 11/12:7/18):4 7/18=

Answer 1

Ответ:

$\frac{117}{158}$

Пошаговое объяснение:

$(14-2\frac{11}{12}:\frac{7}{18} ):4\frac{7}{18}$

Выполним вычисление по действиям:

$1) 2\frac{11}{12}:\frac{7}{18}=\frac{35}{12}*\frac{18}{7}=\frac{7*5}{2*6}*\frac{3*6}{7}=\frac{5*3}{2} =\frac{15}{2}$

$2) 14-\frac{15}{2}=\frac{28}{2} -\frac{15}{2}=\frac{28-15}{2}=\frac{13}{2}$

$3) \frac{13}{2} : 4\frac{7}{18} =\frac{13}{2} : \frac{79}{18} = \frac{13}{2} * \frac{18}{79} =\frac{13}{2} * \frac{2*9}{79} =\frac{13*9}{2*79}=\frac{117}{158}$

Answer 2

To solve this arithmetic expression, we can follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Starting with the parentheses, there are none in this expression. Next, we can simplify the subtraction of the mixed number 2 11/12 from the whole number 14:

14 - 2 11/12 = 13 1/12

So the expression now becomes:

13 1/12 : 7/18 + 4 7/18

To divide a whole number or a mixed number by a fraction, we need to multiply by the reciprocal of the fraction. So we can rewrite the expression as:

13 1/12 x 18/7 + 4 7/18

Next, we can convert the mixed number 4 7/18 to an improper fraction:

4 7/18 = (4 x 18 + 7)/18 = 79/18

So the expression now becomes:

13 1/12 x 18/7 + 79/18

To add or subtract fractions with different denominators, we need to find a common denominator. In this case, we can multiply the first fraction by 18/18 and the second fraction by 7/7 to get a common denominator of 126:

13 1/12 x 18/7 x 18/18 + 79/18 x 7/7

Simplifying the first term:

13 1/12 x 2 + 79/18 x 7/7

13 1/6 + 79/18

To add these mixed numbers, we need to convert them to improper fractions and find a common denominator. Multiplying the first term by 18/18:

(13 x 18 + 1)/6 x 18/18 + 79/18

(234 + 1)/108 + 79/18

235/108 + 79/18 x 6/6

235/108 + 474/108

709/108

Therefore, 14-2 11/12:7/18+4 7/18 = 709/108.