Question

5-(2.8-6/14:9/14)*1.5

Answer 1

Ответ:

1,8

Пошаговое объяснение:

Преобразуем десятичные в обыкновенные дроби: 5-(14/5-6/14*14/9)*3/2

Сокращаем 6/14 и 14/9 на 14 и на 6: 5-(14/5-2*1/3)*3/2

5-(14/5-2/3)*3/2

5-32/15*3/2

Сокращаем 32/15 и 3/2 на 2 и на 3: 5-16/5

9/5=1,8

Answer 2

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

First, let's simplify the innermost operation inside the parentheses:

6/14:9/14

To perform the division operation, we can multiply by the reciprocal of the second fraction:

6/14 * 14/9

Simplifying further:

(6 * 14) / (14 * 9) 84 / 126

Now, let's substitute this value back into the original expression:

5 - (2.8 - 84/126) * 1.5

Next, let's evaluate the subtraction inside the parentheses:

2.8 - 84/126

To subtract fractions, we need a common denominator:

2.8 - (84/126) * (9/9)

Multiplying the numerators and denominators:

2.8 - 756/1134

Simplifying the fraction:

2.8 - 2/3

To subtract fractions, we need a common denominator:

(2.8 * 3/3) - (2/3)

8.4/3 - 2/3

Combining the numerators:

(8.4 - 2) / 3

6.4 / 3

Now, let's substitute this value back into the original expression:

5 - (6.4/3) * 1.5

To multiply fractions, we multiply the numerators and denominators:

5 - (6.4 * 1.5) / 3

Multiplying:

5 - 9.6 / 3

Dividing:

5 - 3.2

Subtracting:

1.8

Therefore, the value of the expression 5-(2.8-6/14:9/14)*1.5 is approximately 1.8.