Question

4 1/6*(1 1/2-3/5)+(3/4+5/6)

Answer 1

4 целых 1/6 * ( 1 целая 1/2 - 3/5 ) + ( 3/4 +5/6 )

решаем по действиям :

1) 1 целая 1/2 - 3/5 = 3/2 - 3/5 = 15/10 - 6/10 = 9/10 ;

2) 3/4 + 5/6 = 9/12 + 10/12 = 19/12 = 1 7/12 ;

3) 4 целых 1/6 * 9/10 = 25/6 * 9/10 = 225/60 = 15/4 = 3 целых 3/4 ;

4) 3 целых 3/4 + 1 целая 7/12 = 4 + 3/4 + 7/12 = 4 + 9/12 + 7/12 = 4 + 16/12 = 4 + 4/3 = 5 целых 1/3 ;

Удачи ) )

Ответ : 5 целых 1/3.

Answer 2

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Step 1: Deal with parentheses. 1 1/2 - 3/5 can be written as an improper fraction: 1 1/2 = (2 * 1 + 1)/2 = 3/2 So, the expression becomes: 4 1/6 * (3/2 - 3/5) + (3/4 + 5/6)

Step 2: Simplify inside the parentheses. 3/2 - 3/5 = (5/5 * 3/2) - 3/5 = (15/10) - 3/5 = (15 - 6)/10 = 9/10 Now, the expression becomes: 4 1/6 * (9/10) + (3/4 + 5/6)

Step 3: Convert the mixed number to an improper fraction in the first term. 4 1/6 = (6 * 4 + 1)/6 = 25/6 Now, the expression becomes: 25/6 * (9/10) + (3/4 + 5/6)

Step 4: Simplify the first term. 25/6 * 9/10 = (25 * 9)/(6 * 10) = 225/60

Step 5: Add the fractions inside the second set of parentheses. 3/4 + 5/6 = (3 * 3)/(4 * 3) + (5 * 2)/(6 * 2) = 9/12 + 10/12 = 19/12

Now, the expression becomes: 225/60 + 19/12

Step 6: Find a common denominator for both fractions. The common denominator for 60 and 12 is 60.

Step 7: Convert both fractions to have a denominator of 60. 225/60 = (225 * 1)/60 = 225/60 19/12 = (19 * 5)/(12 * 5) = 95/60

Now, the expression becomes: 225/60 + 95/60

Step 8: Add the fractions together. 225/60 + 95/60 = (225 + 95)/60 = 320/60

Step 9: Simplify the fraction, if possible. 320/60 = (2 * 160)/(2 * 30) = 160/30 = 8/3

The final result of the expression is 8/3.