Question

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

Answer 1

На фото................

Answer 2

Let's solve each of the equations step by step:

1. 5 11/12 - 3 7/8

To subtract mixed numbers, we first need to convert them into improper fractions.

5 11/12 can be written as (5 * 12 + 11) / 12 = 71/12

3 7/8 can be written as (3 * 8 + 7) / 8 = 31/8

So the expression becomes:

71/12 - 31/8

To subtract fractions with different denominators, we need to find a common denominator. The least common multiple of 12 and 8 is 24.

71/12 can be rewritten as (71/12) * (2/2) = 142/24

31/8 can be rewritten as (31/8) * (3/3) = 93/24

So the expression now becomes:

142/24 - 93/24 = 49/24

Therefore, 5 11/12 - 3 7/8 = 2 1/3 or 2.0833 (rounded to four decimal places)

2. 7 5/14 - x = 2 5/16

We need to isolate the variable x on one side of the equation.

7 5/14 can be written as (7 * 14 + 5) / 14 = 99/14

2 5/16 can be written as (2 * 16 + 5) / 16 = 37/16

So the equation becomes:

99/14 - x = 37/16

To solve for x, we can start by subtracting 99/14 from both sides:

-x = 37/16 - 99/14

To subtract fractions with different denominators, we need to find a common denominator. The least common multiple of 14 and 16 is 112.

37/16 can be rewritten as (37/16) * (7/7) = 259/112

99/14 can be rewritten as (99/14) * (8/8) = 792/112

So the expression now becomes:

-x = 259/112 - 792/112 = -533/112

To isolate x, we need to multiply both sides by -1:

x = 533/112

Therefore, the solution is x = 4.7589 (rounded to four decimal places)

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

We need to isolate the variable x on one side of the equation.

To do this, we can start by adding 9/20 to both sides:

(x+15/12) = 11/15 + 9/20

To add fractions with different denominators, we need to find a common denominator. The least common multiple of 15 and 20 is 60.

11/15 can be rewritten as (11/15) * (4/4) = 44/60

9/20 can be rewritten as (9/20) * (3/3) = 27/60

So the expression now becomes:

(x+15/12) = 44/60 + 27/60 = 71/60

To isolate x, we need to subtract 15/12 from both sides:

x = 71/60 - 15/12

To subtract fractions with different denominators, we need to find a common denominator. The least common multiple of 12 and 60 is 60.

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