Question

18x1/6-1x11/14-2/15x2x6/7 вычислите значение выражения

Answer 1

$18 \times \frac{1}{6} = 3$
$1 \times \frac{11}{14} = \frac{11}{14}$
$\frac{2}{15} \times 2 = \frac{4}{15} \times \frac{6}{7} = \frac{8}{35}$
$3 - \frac{11}{14} = 2 \frac{14}{14} - \frac{11}{14} = 2 \frac{3}{14}$
$2 \frac{3}{14} - \frac{8}{35} = 2 \frac{15}{70} - \frac{16}{70} = \\ 1 \frac{85}{70} - \frac{16}{70} = 1 \frac{69}{70}$
Ответ: 1 69/70

Answer 2

18x1/6-1x11/14-2/15x2x6/7
1)18x1/6=3
2)1x11/14=11/14
3)2/15x2=4/15
4)4/15×6/7=24/105=8/35
5)3-11/14=2 3/14
6)2 3/14-8/35=31/14-8/35=155/70-16/70=139/70=1 69/70

Answer 3

To calculate the value of the expression, follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

1. First, perform any multiplication and division from left to right: 18 * (1/6) - 1 * (11/14) - (2/15) * 2 * (6/7)

2. Next, simplify the expressions: 18 * (1/6) = 3 1 * (11/14) = 11/14 (2/15) * 2 * (6/7) = (2/15) * (12/7) = 24/105 = 8/35

3. Now, re-write the expression with the simplified values: 3 - 11/14 - 8/35

4. To combine the fractions, find a common denominator, which is 70 in this case: 3 = 210/70 11/14 = 5 * (11/14) = 55/70 8/35 = 2 * (8/35) = 16/70

5. Now, the expression becomes: 210/70 - 55/70 - 16/70

6. Combine the fractions: (210 - 55 - 16) / 70 = 139 / 70

The final value of the expression is 139/70 or approximately 1.9857.