Question

7 9/16 - (х-2 3/10)=4 11/16

Answer 1

Ответ:

5 7/40

Пошаговое объяснение:

7 9/16 - (х - 2 3/10) = 4 11/16

х - 2 3/10 = 7 9/16 - 4 11/16

х - 2 3/10 = 6 25/16 - 4 11/16

х - 2 3/10 = 2 14/16

х = 2 14/16 + 2 3/10

х = 2 70/80 + 2 24/80

х = 4 94/80

х = 5 14/80

х = 5 7/40

Answer 2

Ответ:

Пошаговое объяснение:

7 9/16 - (х - 2 3/10) = 4 11/16

х - 2 3/10 = 7 9/16 - 4 11/16

х - 2 3/10 = 6 25/16 - 4 11/16

х - 2 3/10 = 2 14/16

х = 2 14/16 + 2 3/10

х = 2 7/8 + 2 3/10

х = 2 35/40 + 2 12/40

х = 4 47/40

х = 5 7/40

Answer 3

To solve for the variable "x" in the equation:

7 9/16 - (x - 2 3/10) = 4 11/16

First, let's simplify both sides of the equation.

1. On the left side of the equation, simplify the mixed number by converting it to an improper fraction:

7 9/16 = (16 * 7 + 9)/16 = (112 + 9)/16 = 121/16

So, the left side of the equation becomes:

121/16 - (x - 2 3/10) = 4 11/16

2. Now, let's simplify the right side of the equation:

4 11/16 = (16 * 4 + 11)/16 = (64 + 11)/16 = 75/16

So, the equation is now:

121/16 - (x - 2 3/10) = 75/16

3. Next, move the term containing "x" (x - 2 3/10) to the left side by adding it to both sides of the equation:

121/16 - (x - 2 3/10) + (x - 2 3/10) = 75/16 + (x - 2 3/10)

The terms with "x" on the left side will cancel out:

121/16 = 75/16 + (x - 2 3/10)

4. Now, subtract 75/16 from both sides to isolate the term with "x":

121/16 - 75/16 = x - 2 3/10

46/16 = x - 2 3/10

5. Simplify both sides:

46/16 = x - 23/10

6. Add 23/10 to both sides to solve for "x":

46/16 + 23/10 = x

To add these fractions, you need a common denominator, which is 80. So:

(46/16) * (5/5) = 230/80 (23/10) * (8/8) = 184/80

Now, the equation becomes:

230/80 + 184/80 = x

414/80 = x

7. Simplify the fraction on the left side by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(414/2) / (80/2) = 207/40

So, the value of "x" is:

x = 207/40

You can also express this as a mixed number:

x = 5 7/40