Question

1) 10 5/8 - х= 7 3/5 2) (х - 2 7/8) + 3 5/6= 4 2/3

Answer 1

1)х=10 5/8-7 3/5 переносим известные в одну сторону относительно знака = известные в др.ч=3 1/40
2)Раскрываем скобки:х-2 7/8 +3 5/6=4 2/3
х=4 2/3-3 5/6+2 7/8
х=89/24
х=3 17/24

Answer 2

Let's solve the two equations step by step:

1. 10 5/8 - x = 7 3/5

To solve this equation, we need to subtract the fractions and the whole numbers separately:

Subtracting the fractions: 5/8 - 3/5

To subtract fractions, we need to have a common denominator. In this case, the common denominator is 40, which is the least common multiple of 8 and 5. We can convert both fractions to have a denominator of 40:

(5/8) * (5/5) = 25/40 (3/5) * (8/8) = 24/40

Now, we can subtract the fractions:

25/40 - 24/40 = 1/40

Now, let's subtract the whole numbers:

10 - 7 = 3

So, the equation becomes:

3 1/40 - x = 0

To solve for x, we need to isolate it on one side of the equation. Let's subtract 3 1/40 from both sides:

• x = -3 1/40

To change the sign of the right side of the equation, we can multiply both sides by -1:

x = 3 1/40

Therefore, the solution to the first equation is x = 3 1/40.

2. (x - 2 7/8) + 3 5/6 = 4 2/3

First, let's add the fractions on the left side of the equation:

Converting all the fractions to have a common denominator of 24:

(x - 23/8) + 23/4 = 14/3

Next, let's add the whole numbers:

x - 23/8 + 23/4 = 14/3

To add the fractions, we need a common denominator:

(x - 23/8) + (23/4) = (14/3)

Multiplying the first fraction by 3/3 and the second fraction by 2/2:

(x - 23/8) + (69/8) = 28/6

Now, combine the fractions:

(x - 23/8 + 69/8) = 28/6

(x + 46/8) = 28/6

Let's simplify the fractions:

(x + 23/4) = 14/3

To isolate x, we need to subtract 23/4 from both sides:

x + 23/4 - 23/4 = 14/3 - 23/4

x = (14/3 - 23/4)

To find a common denominator, we multiply the fractions:

x = (56/12 - 69/12)

Now, subtract the fractions:

x = (-13/12)

Therefore, the solution to the second equation is x = -13/12.