Question

(2/15+1 7/12)×30/103+2÷2 1/4×0,28125срочноо!!!​

Answer 1

Ответ:

2/15+1 7/12=1 43\60

1 43\60*30/103=1/2

2:2 1/4=8/9

1/2+8/9=1 7/18

1 7/18*0.28125=25/64.

Answer 2

To solve the given expression, let's break it down step by step:

1. Evaluate the addition inside the parentheses first: 2/15 + 1 7/12

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 15 and 12 is 60.

2/15 can be converted to 8/60 by multiplying the numerator and denominator by 4. 1 7/12 can be converted to 19/12 by multiplying the whole number (1) by the denominator (12) and adding the numerator (7).

Adding 8/60 and 19/12: (8/60) + (19/12) = (4/30) + (19/12) = (2/15) + (19/12)

To add these fractions, we need a common denominator. The LCM of 15 and 12 is 60.

(2/15) can be converted to (8/60) by multiplying the numerator and denominator by 4. (19/12) can be converted to (95/60) by multiplying the numerator and denominator by 5.

Adding (8/60) and (95/60): (8/60) + (95/60) = (8 + 95)/60 = 103/60

2. Evaluate the multiplication next: (2/15 + 1 7/12) × 30/103

Recall that we found the sum of the fractions inside the parentheses to be 103/60.

(103/60) × (30/103) = (103 × 30)/(60 × 103)

Simplifying the expression: (103 × 30) = 3090 (60 × 103) = 6180

So, (103/60) × (30/103) simplifies to 3090/6180, which can be reduced to 5/10 or 1/2.

3. Finally, evaluate the remaining operations: 1/2 + 2 ÷ 2 1/4 × 0.28125

To simplify this expression, follow the order of operations (parentheses, multiplication/division from left to right, and addition/subtraction from left to right).

2 ÷ 2 1/4 can be converted to an improper fraction: 2 ÷ 2 1/4 = 2 ÷ (9/4) = 2 × (4/9) = 8/9

Now we have: 1/2 + 8/9 × 0.28125

Multiplying 8/9 by 0.28125: (8/9) × 0.28125 = (8 × 0.28125) / 9 = 2.25/9

Adding 1/2 and 2.25/9: 1/2 + 2.25/9 = 4/8 + 2.25/9 = 36/72 + 16/72 = 52/72

The final result is 52/72, which can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4: 52/72 = (52 ÷ 4) / (72 ÷ 4) = 13/18

Therefore, the value of the given expression is 13/18.