Question

(2/7+3 1/2)×4 2/3 (4 1/5-2 3/4)×2 2/19(5 6/7+ 3 5/21)×2 1/10(7 5/12-3 1/6)×2 2/17​

Answer 1

Пошаговое объяснение:

Если не правильно то сорри

Если правильно то можно лучший ответ?

СРАЗУ ПРЕДУПРЕЖДАЮ ОТВЕТ МОЖЕТ БЫТЬ НЕ ТОЧНЫМ

Answer 2

To simplify this expression, you can follow the order of operations (PEMDAS/BODMAS):

1. Perform operations inside parentheses/brackets first.
2. Then, perform multiplications and divisions from left to right.
3. Finally, perform additions and subtractions from left to right.

Let's break down the expression step by step:

Step 1: Calculate what's inside each set of parentheses/brackets:

a) Inside the first parentheses: (2/7 + 3 1/2) = 2/7 + 7/2 (convert the mixed number to an improper fraction) = (2/7 + 21/2) (find a common denominator, which is 14) = (4/14 + 147/14) = 151/14

b) Inside the second parentheses: (4 1/5 - 2 3/4) = 21/5 - 11/4 (convert the mixed numbers to improper fractions) = (84/20 - 55/20) (find a common denominator, which is 20) = (84/20 - 55/20) = 29/20

c) Inside the third parentheses: (5 6/7 + 3 5/21) = 41/7 + 104/21 (convert the mixed numbers to improper fractions) = (246/42 + 208/42) (find a common denominator, which is 42) = (454/42)

d) Inside the fourth parentheses: (7 5/12 - 3 1/6) = 89/12 - 19/6 (convert the mixed numbers to improper fractions) = (178/24 - 38/24) (find a common denominator, which is 24) = (140/24) = 35/6

Step 2: Perform multiplications and divisions from left to right:

(151/14) × (29/20) × (454/42) × (35/6)

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

Numerator = (151 × 29 × 454 × 35) Denominator = (14 × 20 × 42 × 6)

Now, let's simplify the fraction:

Numerator = 77313450 Denominator = 70560

Step 3: Simplify the final fraction:

77313450 / 70560 = 1095/1

So, the simplified result of the expression is 1095.