Question

2 - 1 4/5 * (1 1/4 + 1/12) : 6

Answer 1

Ответ:

8/5 альтернатива, 1 3/4 ; 1,6

Пошаговое объяснение:

1 Преобразовать и сократить дробь,

2 Сложить дроби

3 Сократить числа

4 сократить числа

5 Вычислить произведение

6 вычислить

Answer 2

Ответ:

$2 - 1 \frac{4}{5} \times (1 \frac{1}{4} + \frac{1}{12} ) = \\ 2 - 1 \frac{4}{5} \times 1 \frac{1}{3} = 2 - \frac{9}{5} \times \frac{4}{3} = 2 - 2.4 = - 0.4$

Answer 3

To solve the expression, let's break it down step by step:

Step 1: Simplify the addition inside the parentheses. 1 1/4 + 1/12 = 5/4 + 1/12 (finding a common denominator) = 15/12 + 1/12 (multiplying the numerator and denominator of the first fraction by 3) = 16/12 (combining the numerators) = 4/3

Step 2: Perform the multiplication and division from left to right. 2 - 1 4/5 * (4/3) : 6 2 - 9/5 * (4/3) : 6 (converting the whole number 1 to a fraction) 2 - (9/5) * (4/3) : 6 (multiplying 1 4/5 by 5/5 to convert it to an improper fraction) 2 - (36/15) : 6 (multiplying 9/5 by 4/3) 2 - (36/15) / 6 (dividing 36/15 by 6)

Step 3: Divide 36/15 by 6. 36/15 ÷ 6 = (36/15) * (1/6) (dividing by a fraction is equivalent to multiplying by its reciprocal) = (36 * 1) / (15 * 6) (multiplying the numerators and denominators) = 36/90 (simplifying the numerator and denominator by dividing both by their common factor of 18) = 2/5 (simplifying further by dividing both numerator and denominator by their common factor of 2)

Step 4: Substitute the division result back into the expression. 2 - 2/5 = 10/5 - 2/5 (finding a common denominator) = 8/5

Therefore, the value of the expression 2 - 1 4/5 * (1 1/4 + 1/12) : 6 is 8/5.