Question

3+х/8=6/11 ...............​

Answer 1

Відповідь:

Покрокове пояснення:

Answer 2

To solve the equation 3 + x/8 = 6/11, we can follow these steps:

Step 1: Multiply both sides of the equation by 8 to eliminate the fraction:

8 * (3 + x/8) = 8 * (6/11)

Simplifying:

24 + x = 48/11

Step 2: Convert the fraction on the right side to a single fraction:

24 + x = 48/11

To do this, multiply the denominator (11) by the whole number (48) and add the numerator (48 * 11 = 528):

24 + x = 528/11

Step 3: Subtract 24 from both sides to isolate the variable:

24 + x - 24 = 528/11 - 24

Simplifying:

x = 528/11 - 24

Step 4: Convert the whole number (24) to a fraction with the same denominator (11):

x = 528/11 - (24 * 11)/11

Simplifying:

x = 528/11 - 264/11

Step 5: Subtract the fractions:

x = (528 - 264)/11

Simplifying:

x = 264/11

Step 6: Divide the numerator by the denominator:

x = 24

Therefore, the solution to the equation 3 + x/8 = 6/11 is x = 24.