Question

(2 2/9-1 5/6)×(4/7+1/2)=. (1 4/5+2/5)×(1/2+3/4)=​

Answer 1

Ответ:

Пошаговое объяснение:

1)(2 2/9-1 5/6)×(4/7+1/2)=(40/18-33/18)×(8/14+7/14)=7/18×15/14=5/12

2)(1 4/5+2/5)×(1/2+3/4)=

1 6/5×(2/4+3/4)=11/5×5/4=11/4=2 3/4

Answer 2

Let's solve the expressions step by step:

1. (2 2/9 - 1 5/6) × (4/7 + 1/2)

First, let's convert the mixed numbers to improper fractions: 2 2/9 = (2 * 9 + 2) / 9 = 20/9 1 5/6 = (1 * 6 + 5) / 6 = 11/6

The expression becomes: (20/9 - 11/6) × (4/7 + 1/2)

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 9 and 6 is 18.

Rewriting the fractions with a common denominator: (20/9) × (6/6) - (11/6) × (3/3) × (4/7 + 1/2)

Simplifying: (120/54) - (33/18) × (4/7 + 1/2)

Further simplifying: (20/9) - (11/6) × (4/7 + 1/2)

To add fractions, we need a common denominator. The LCM of 6 and 7 is 42.

Rewriting the fractions with a common denominator: (20/9) - (11/6) × (8/14 + 21/42)

Simplifying: (20/9) - (11/6) × (29/42)

Multiplying fractions: (20/9) - (319/252)

To subtract fractions, we need a common denominator. The LCM of 9 and 252 is 252.

Rewriting the fractions with a common denominator: (560/252) - (319/252)

Subtracting the fractions: (560 - 319)/252

Final result: 241/252 ≈ 0.9563

2. (1 4/5 + 2/5) × (1/2 + 3/4)

First, let's convert the mixed number to an improper fraction: 1 4/5 = (1 * 5 + 4) / 5 = 9/5

The expression becomes: (9/5 + 2/5) × (1/2 + 3/4)

Adding the fractions inside the first parentheses: (11/5) × (1/2 + 3/4)

Adding the fractions inside the second parentheses: (11/5) × (2/4 + 3/4)

Simplifying: (11/5) × (5/4)

Multiplying fractions: (11 * 5)/(5 * 4)

Simplifying: 55/20 = 11/4 = 2.75

Final result: 2.75