Question

(1/4+5/6):2 1/6; (1 1/5:6+3 1/5•1/4- 1/6) :1 2/3

Answer 1

Ответ:

Пошаговое объяснение:

(1/4+5/6):2 1/6=1\2

1\4+5\6=3\12+10\12=13\12

13\12:2 1\6=13\12*6\13=1\2

(1 1/5:6+3 1/5•1/4- 1/6) :1 2/3=1\2

1 1\5:6=6\5*1\6=1\5

3 1\5*1\4=16\5*1\4=4\5

1\5+4\5=1

1-1\6=5\6

5\6:1 2\3=5\6*3\5=1\2

Answer 2

Let's solve each expression step by step:

Expression 1: (1/4 + 5/6) ÷ 2 1/6

To solve this, we'll start by finding a common denominator for the fractions:

1/4 = 3/12 (multiplying the numerator and denominator by 3) 5/6 = 10/12 (multiplying the numerator and denominator by 2)

Now we can add the fractions: 3/12 + 10/12 = 13/12

Next, we'll convert the mixed number 2 1/6 into an improper fraction: 2 1/6 = (2 * 6 + 1)/6 = 13/6

Now we can divide 13/12 by 13/6: (13/12) ÷ (13/6) = (13/12) * (6/13) = 1/2

Therefore, (1/4 + 5/6) ÷ 2 1/6 equals 1/2.

Expression 2: (1 1/5:6 + 3 1/5 • 1/4 - 1/6) ÷ 1 2/3

Let's simplify each part separately before performing the overall calculation:

1. Simplifying (1 1/5:6): 1 1/5 = (1 * 5 + 1)/5 = 6/5

Now we can divide 6/5 by 6: (6/5) ÷ 6 = (6/5) * (1/6) = 1/5

2. Simplifying (3 1/5 • 1/4): 3 1/5 = (3 * 5 + 1)/5 = 16/5

Now we can multiply 16/5 by 1/4: (16/5) * (1/4) = 16/20 = 4/5

3. Combining the previous results: (1/5) + (4/5) - (1/6) = 6/30 + 24/30 - 5/30 = 25/30 = 5/6

Now we'll convert the mixed number 1 2/3 into an improper fraction: 1 2/3 = (1 * 3 + 2)/3 = 5/3

Finally, we can divide 5/6 by 5/3: (5/6) ÷ (5/3) = (5/6) * (3/5) = 3/6 = 1/2

Therefore, (1 1/5:6 + 3 1/5 • 1/4 - 1/6) ÷ 1 2/3 equals 1/2.