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To add fractions, you need to have a common denominator, so your first step is to convert to a common denominator. 4 is the LCM for the 2 fractions, so:
1. 1/4x = 1/4x
2. 5/2x = 10/4x
Now add the fractions:
3. 1/4x + 10/4x = 11/4X
So you now have 11/4X = 22. Solve for X by multiplying both sides by 4/11 (or divide each side by 11/4)
4. 4/11*11/4X = 4/11*22
X = 8
1. 1/4x = 1/4x
2. 5/2x = 10/4x
Now add the fractions:
3. 1/4x + 10/4x = 11/4X
So you now have 11/4X = 22. Solve for X by multiplying both sides by 4/11 (or divide each side by 11/4)
4. 4/11*11/4X = 4/11*22
X = 8
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