X/2 + 3/5 = 1/4
Hello Ms Sue, you skipped me :( ...please help...
x = -7/10
I'm not sure if this is correct.
I agree with Ms. Sue on this one. By plugging in -7/10 and doing the math, it equals 0.25 on both sides.
To solve the equation X/2 + 3/5 = 1/4, we can follow these steps:
Step 1: Find a common denominator
The denominators in the equation are 2, 5, and 4. To find a common denominator, we can multiply all three denominators together, which gives us 2 * 5 * 4 = 40.
Step 2: Adjust the fractions to have the same denominator
To adjust X/2 and 3/5 to have a denominator of 40, we can multiply the numerator and denominator of each fraction by their respective missing factors. For X/2, we need to multiply by 20, since 20*2 = 40. For 3/5, we need to multiply by 8, since 8*5 = 40.
So, the equation becomes:
(20*X)/40 + (8*3)/40 = 1/4
Simplifying further:
(20*X + 24)/40 = 1/4
Step 3: Get rid of fractions
To get rid of the fractions, we can multiply both sides of the equation by 40, which cancels out the denominators:
40 * (20*X + 24)/40 = 40 * (1/4)
Simplifying:
20*X + 24 = 10
Step 4: Solve for X
Now we have a simple linear equation:
20*X = 10 - 24
20*X = -14
To isolate X, we divide both sides of the equation by 20:
X = -14/20
Simplifying further, we get:
X = -7/10
Therefore, the solution to the equation X/2 + 3/5 = 1/4 is X = -7/10.