Question

[ 2\7+3 1\2] *4 2\3 =

Answer 1

Ответ:

17 2/3

Пошаговое объяснение:

1) 2/7 + 3 1/2. Вторую дроб представляем в неправильном виде и приводим все к общему знаменателю = 4/14 + 49/14 = 53/14

2) 53/14 * 14/3 = 14 сокращается = 53/3 = 17 2/3

Answer 2

To solve the expression, first, let's simplify the terms inside the square brackets:

2/7 + 3 1/2

To add these fractions and mixed numbers, we need to convert the mixed number (3 1/2) to an improper fraction:

3 1/2 = (2 * 3) + 1 = 7/2

Now, the expression becomes:

2/7 + 7/2

To add these fractions, we need to find a common denominator, which is 14:

2/7 * 2/2 = 4/14 7/2 * 7/7 = 49/14

Now, the expression becomes:

4/14 + 49/14

Combine the fractions:

(4 + 49) / 14 = 53/14

Now, we can continue with the rest of the expression:

53/14 * 4 2/3

Again, convert the mixed number (4 2/3) to an improper fraction:

4 2/3 = (3 * 4) + 2 = 14/3

Now, the expression becomes:

53/14 * 14/3

To multiply fractions, simply multiply the numerators together and the denominators together:

(53 * 14) / (14 * 3) = 742 / 42

Now, we simplify the fraction:

742 divided by 42 equals 17.6666667

Rounded to three decimal places, the final result is approximately:

17.667