Question

Найдите значение выражения: 6) 2 3/4 : ( 1 1/2 - 2/5 ) + ( 3/4 + 5/6 ) : 3 1/6. Помогите пожалуйста!!!!!!!! Очень надо!!!!!

Answer 1

1 ) 1 1/2 - 2/5 общий знаменатель 10 = 1 5/10 - 4/10 = 1 1/10
2 ) 3/4 + 5/6 общий знаменатель 12 = 9/12 + 10/12 + 19/12 = 1 7/12
3 ) 2 * 3/4 = 3/2 так как число 2 и знаменатель сокращаются на 2 = 1 1/2
4 ) 1 1/2 : 1 1/10 = 15/11 = 1 4/11
5 ) 1 7/12 : 3 1/6 = 1/2 
6 ) 1 4/11 + 1/2 = 1 19/22

Answer 2

Calculation of the Expression

To find the value of the expression 6 + 2 3/4 : (1 1/2 - 2/5) + (3/4 + 5/6) : 3 1/6, we need to follow the order of operations (PEMDAS/BODMAS).

Let's break down the expression step by step:

1. Simplify the division inside the parentheses: 1 1/2 - 2/5. - To subtract fractions, we need a common denominator. The least common multiple (LCM) of 2 and 5 is 10. - Converting both fractions to have a denominator of 10: - 1 1/2 becomes 5/2 (since 1 1/2 is equal to 3/2). - 2/5 remains the same. - Subtracting the fractions: 5/2 - 2/5. - To subtract fractions, we need a common denominator. The LCM of 2 and 5 is 10. - Converting both fractions to have a denominator of 10: - 5/2 becomes 25/10. - 2/5 becomes 4/10. - Subtracting the fractions: 25/10 - 4/10 = 21/10.

2. Simplify the addition inside the parentheses: 3/4 + 5/6. - To add fractions, we need a common denominator. The least common multiple (LCM) of 4 and 6 is 12. - Converting both fractions to have a denominator of 12: - 3/4 becomes 9/12. - 5/6 becomes 10/12. - Adding the fractions: 9/12 + 10/12 = 19/12.

3. Simplify the division outside the parentheses: 19/12 : 3 1/6. - To divide fractions, we multiply by the reciprocal of the divisor. - Converting the mixed number 3 1/6 to an improper fraction: - 3 1/6 is equal to 19/6. - Dividing the fractions: 19/12 : 19/6. - Dividing by a fraction is the same as multiplying by its reciprocal. - Multiplying by the reciprocal: 19/12 * 6/19 = 1/2.

4. Finally, perform the addition and subtraction: 6 + 2 3/4 : (1 1/2 - 2/5) + (3/4 + 5/6) : 3 1/6. - Substituting the simplified values: - 6 + 2 3/4 : (1 1/2 - 2/5) + (3/4 + 5/6) : 3 1/6 = 6 + 1/2 + 19/12 : 1/2. - Simplifying further: - 6 + 1/2 + 19/12 : 1/2 = 6 + 1/2 + 19/12 * 2/1. - Multiplying the fractions: 19/12 * 2/1 = 38/12 = 19/6. - Adding the fractions: 6 + 1/2 + 19/6. - To add fractions, we need a common denominator. The least common multiple (LCM) of 2 and 6 is 6. - Converting both fractions to have a denominator of 6: - 1/2 becomes 3/6. - 19/6 remains the same. - Adding the fractions: 6 + 3/6 + 19/6 = (6 + 3 + 19)/6 = 28/6 = 14/3.

Therefore, the value of the expression 6 + 2 3/4 : (1 1/2 - 2/5) + (3/4 + 5/6) : 3 1/6 is 14/3.

Answer

The value of the expression 6 + 2 3/4 : (1 1/2 - 2/5) + (3/4 + 5/6) : 3 1/6 is 14/3.