Question

2 1/4х - 6 1/2=2 3/4

Answer 1

ответ:

$\displaystyle \frac{37}9}=4\frac{1}{9}$

решение:

$\displaystyle 2\frac{1}{4}x-6\frac{1}{2}=2\frac{3}{4}\\ \\\frac{9}{4}x-6\frac{1}{2}=2\frac{3}{4}\\ \\\frac{9}{4}x-\frac{13}{2}=2\frac{3}{4}\\ \\\frac{9}{4}x-\frac{13}{2}=\frac{11}{4}\\ \\9x-26=11\\ 9x=11+26\\ 9x=37\\ \\x=\frac{37}{9}=4\frac{1}{9}$

Answer 2

To solve the equation 2 1/4x - 6 1/2 = 2 3/4, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

2 1/4 is equal to 9/4 because 2 * 4 + 1 = 9. 6 1/2 is equal to 13/2 because 6 * 2 + 1 = 13. 2 3/4 is equal to 11/4 because 2 * 4 + 3 = 11.

Now, your equation becomes:

(9/4)x - (13/2) = (11/4).

Step 2: Get rid of the fractions by multiplying both sides of the equation by a common denominator, which is 4 in this case to clear the fractions:

4 * ((9/4)x - (13/2)) = 4 * (11/4).

This simplifies to:

9x - 26 = 11.

Step 3: Add 26 to both sides of the equation to isolate the variable:

9x - 26 + 26 = 11 + 26.

This simplifies to:

9x = 37.

Step 4: Finally, divide both sides by 9 to solve for x:

(9x)/9 = 37/9.

x = 37/9.

So, the solution to the equation is:

x = 37/9.