Question

Помогите решить а) (7/15+7/30+4/5)÷(2-1/3-1/2); б) (1/6+1/10+1/15)÷(3/5-1/3-1/4) Заранее спасибо огромноооее

Answer 1

А) 1)- (7/15)*2+7/30+(4/5)*6= 14/30+ 7/30+24/30=48/30 2)-2*6-(1/3)*2-(1/2)*3 =12/6-2/6-3/6=7/6 3)(48/30):(7/6)=(48/30)*(6/7)=1 13/35

Answer 2

а) To solve the expression (7/15 + 7/30 + 4/5) ÷ (2 - 1/3 - 1/2), we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, let's simplify the expression inside the parentheses: 7/15 + 7/30 + 4/5 = (14/30) + (7/30) + (24/30) = 45/30

Next, let's simplify the expression inside the division: 2 - 1/3 - 1/2 = (6/3) - (2/6) - (3/6) = 1/3

Now, we can rewrite the expression as: (45/30) ÷ (1/3)

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. Therefore: (45/30) ÷ (1/3) = (45/30) * (3/1) = (45 * 3) / (30 * 1) = 135/30

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 15: 135/30 = (9 * 15) / (2 * 15) = 9/2

Therefore, the value of the expression (7/15 + 7/30 + 4/5) ÷ (2 - 1/3 - 1/2) is 9/2.

б) To solve the expression (1/6 + 1/10 + 1/15) ÷ (3/5 - 1/3 - 1/4), we can follow the same steps as above.

First, let's simplify the expression inside the parentheses: 1/6 + 1/10 + 1/15 = (5/30) + (3/30) + (2/30) = 10/30

Next, let's simplify the expression inside the division: 3/5 - 1/3 - 1/4 = (12/20) - (20/60) - (15/60) = 36/60 - 20/60 - 15/60 = 1/60

Now, we can rewrite the expression as: (10/30) ÷ (1/60)

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. Therefore: (10/30) ÷ (1/60) = (10/30) * (60/1) = (10 * 60) / (30 * 1) = 600/30

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 30: 600/30 = (20 * 30) / (1 * 30) = 20/1

Therefore, the value of the expression (1/6 + 1/10 + 1/15) ÷ (3/5 - 1/3 - 1/4) is 20/1.

I hope this helps! Let me know if you have any further questions.