Question

5 11/12 - 3 7/8 = , 7 5/14 - x = 2 5/16 , (x+15/12) - 9/20 = 11/15 даю 10 баллов

Answer 1

Фоточка тебе в помощь

Answer 2

To solve the given equations, let's tackle them one by one:

1. 5 11/12 - 3 7/8: To subtract mixed numbers, it's helpful to convert them into improper fractions first.

5 11/12 = (5 * 12 + 11) / 12 = 71 / 12 3 7/8 = (3 * 8 + 7) / 8 = 31 / 8

Now, subtract: 71/12 - 31/8

To get a common denominator, we find the least common multiple (LCM) of 12 and 8, which is 24.

71/12 = (71/12) * (2/2) = 142/24 31/8 = (31/8) * (3/3) = 93/24

Now subtract: 142/24 - 93/24 = 49/24

So, 5 11/12 - 3 7/8 = 2 1/24.

2. 7 5/14 - x = 2 5/16: Again, convert the mixed numbers into improper fractions.

7 5/14 = (7 * 14 + 5) / 14 = 103 / 14 2 5/16 = (2 * 16 + 5) / 16 = 37 / 16

Now, we want to solve for x. Let's isolate x on one side:

103/14 - x = 37/16

To get a common denominator, we find the LCM of 14 and 16, which is 112.

103/14 = (103/14) * (8/8) = 824/112 37/16 = (37/16) * (7/7) = 259/112

Now the equation becomes:

824/112 - x = 259/112

Now, subtract 824/112 from both sides to solve for x:

x = 824/112 - 259/112 x = (824 - 259) / 112 x = 565/112

So, x = 5 5/112.

3. (x + 15/12) - 9/20 = 11/15:

Let's first simplify the left side by finding a common denominator.

15/12 = 5/4 9/20 = 27/60

Now, the equation becomes:

(x + 5/4) - 27/60 = 11/15

To get a common denominator, we find the LCM of 4, 60, and 15, which is 60.

(x + 5/4) = 11/15 + 27/60

Now, let's convert 11/15 to an equivalent fraction with a denominator of 60:

11/15 = (11/15) * (4/4) = 44/60

Now, the equation becomes:

(x + 5/4) = 44/60 + 27/60 (x + 5/4) = 71/60

To isolate x, subtract 5/4 from both sides:

x = 71/60 - 5/4

Now, find a common denominator:

71/60 = 71/60 5/4 = (5/4) * (15/15) = 75/60

Now, subtract 75/60 from 71/60:

x = (71 - 75) / 60 x = -4/60

Reduce the fraction:

x = -1/15

So, the value of x is -1/15.

Overall, the solutions are:

1. 5 11/12 - 3 7/8 = 2 1/24
2. x = 5 5/112
3. x = -1/15