I am trying to solve 6 and 3/4 + x = 8
6 and 3/4 + x = 8
Step 1: Turn 6 and 3/4 into an improper fraction. 6*4 = 24 which added by 3 = 27, so the improper fraction would be 27/4 . If you'd like you can change it to 6.75 if you're more comfortable with decimals.
Step 2: You need to do 8 - 27/4 in order to isolate the x. x = -27/4 + 8 or x = 8 - 27/4 Turn the 8 into a fraction that can be subtracted by 27/4, you do this by having 4 multiply both the denominator and the numerator which equals to 32/4. Now you can finally subtract 27/4 from 32/4 which is 5/4.
You can also do 8 - 6.75 or -6.75 + 8 which equals 1.25. 1.25 is equivalent to 5/4.
Answer: x = 5/4
P.S. sorry if my explanation is a bit messy, hopefully it helps!
Oh! and 5/4 equals 1 and 1/4.
6 3/4 + x = 8.
6 + 3/4 +x = 8.
Multiply both sides by 4:
24 + 3 + 4x = 32.
4x = 32-27 = 5.
X = 5/4 = 1 1/4 = 1.25.
To solve the equation 6 and 3/4 + x = 8, we can follow these steps:
Step 1: Convert the mixed number 6 and 3/4 into an improper fraction. To do this, multiply the whole number (6) by the denominator (4) and add the numerator (3). The result is the numerator of the improper fraction. Keep the denominator the same. So, 6 and 3/4 can be written as (6*4 + 3) / 4 = 27/4.
Step 2: Rewrite the equation using the improper fraction. The equation becomes 27/4 + x = 8.
Step 3: To isolate the variable x, we need to get rid of the fraction on the left side. We can do this by multiplying both sides of the equation by the denominator (4) to cancel out the fraction.
(4 * 27/4) + (4 * x) = 8 * 4
27 + 4x = 32
Step 4: Now, we can solve for x. Start by subtracting 27 from both sides of the equation to get rid of it.
27 - 27 + 4x = 32 - 27
4x = 5
Step 5: Finally, divide both sides of the equation by 4 to solve for x.
(4x) / 4 = 5 / 4
x = 5/4
So, the solution to the equation 6 and 3/4 + x = 8 is x = 5/4.