Question

(4*1/3)/(5/6+0,25)= 3,6*(7/12+1/9)= (7/12-2/15)/0,9= (5/8-1/3)*(1*5/7)=

Answer 1

(4*1/3)/(5/6+0,25)=(4/3) / (5/6+1/4) = (4/3) / (13/12) = 16/13=1 3/13 

3,6*(7/12+1/9)=3,6*((21+4)/36)=3,6*25/36=25/10=2,5

(7/12-2/15)/0,9=(35-8)/60 / 0,9=27/60 / 0,9= 1/2

(5/8-1/3)*(1*5/7)= 10/24 * 5/7 = 25/84

Answer 2

а)  (4*1/3)/(5/6+0,25)=4/3 :(5/6+ 1/4)= 4/3: 13/12=4/3*12/13=16/13=1 3/13

б)  3,6*(7/12+1/9)=3,6* 25/36= 36/10*25/36= 25/10=2,5

в) (7/12-2/15)/0,9= 27/60 : 0,9= 9/20:9/10=9/20*10/9= 1/2 = 0,5

г) (5/8-1/3)*(1 *5/7)= 7/24 * 5/7= 5/24

в примере г) в условии во второй скобке ошибка или нету?

Answer 3

Let's solve each of these expressions step by step:

1. (4 * 1/3) / (5/6 + 0.25)

First, calculate the numerator: 4 * 1/3 = 4/3

Now, calculate the denominator: 5/6 + 0.25 = 5/6 + 1/4 = 10/12 + 3/12 = 13/12

Now, divide the numerator by the denominator: (4/3) / (13/12)

To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (4/3) * (12/13)

Now, multiply the numerators and denominators: (4 * 12) / (3 * 13) = 48/39

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3: (48/3) / (39/3) = 16/13

So, (4 * 1/3) / (5/6 + 0.25) = 16/13.

2. 3.6 * (7/12 + 1/9)

First, calculate the values inside the parentheses: 7/12 + 1/9 = (21/36) + (4/36) = 25/36

Now, multiply 3.6 by 25/36: 3.6 * (25/36)

Multiply the numbers: (3.6 * 25) / 36 = 90/36

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 18: (90/18) / (36/18) = 5/2

So, 3.6 * (7/12 + 1/9) = 5/2.

3. (7/12 - 2/15) / 0.9

First, calculate the numerator: 7/12 - 2/15 = (35/60) - (8/60) = 27/60

Now, divide the numerator by 0.9: (27/60) / 0.9

To divide by a decimal, you can multiply by its reciprocal: (27/60) * (10/9)

Now, multiply the numerators and denominators: (27 * 10) / (60 * 9) = 270/540

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 270: (270/270) / (540/270) = 1/2

So, (7/12 - 2/15) / 0.9 = 1/2.

4. (5/8 - 1/3) * (1 * 5/7)

First, calculate the values inside the parentheses: 5/8 - 1/3 = (15/24) - (8/24) = 7/24

Now, calculate the second part: 1 * 5/7 = 5/7

Now, multiply the two results: (7/24) * (5/7)

Multiply the numerators and denominators: (7 * 5) / (24 * 7) = 35/168

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7: (35/7) / (168/7) = 5/24

So, (5/8 - 1/3) * (1 * 5/7) = 5/24.

In summary:

1. (4 * 1/3) / (5/6 + 0.25) = 16/13.
2. 3.6 * (7/12 + 1/9) = 5/2.
3. (7/12 - 2/15) / 0.9 = 1/2.
4. (5/8 - 1/3) * (1 * 5/7) = 5/24.