# Equations with fractions

#### naevino

##### New member
hello, I have another problem I needed help on.

Here is the problem: Solve

x + 5/4 = 3/4x

Since both of the denominators are the same, what do I do now to clear the equation of the fractions so I can combine like terms?

Thank you so much. I really appreciate it!

#### Subhotosh Khan

##### Super Moderator
Staff member
naevino said:
hello, I have another problem I needed help on.

Here is the problem: Solve

x + 5/4 = 3/4x

Since both of the denominators are the same, what do I do now to clear the equation of the fractions so I can combine like terms?

Thank you so much. I really appreciate it!
First multiply both sides by the LCM of all the denominators (in this case 4) to eliminate fraction. Then continue as before.....

#### naevino

##### New member
Subhotosh Khan said:
naevino said:
hello, I have another problem I needed help on.

Here is the problem: Solve

x + 5/4 = 3/4x

Since both of the denominators are the same, what do I do now to clear the equation of the fractions so I can combine like terms?

Thank you so much. I really appreciate it!
First multiply both sides by the LCM of all the denominators (in this case 4) to eliminate fraction. Then continue as before.....
]

I have multiplied the fractions by 4 and I ended up with x +5+3x and my final answer is 5/2 is this correct? What am I doing wrong?

Thank you

##### Full Member
I think you meant : x + 5/4 = (3/4)(x)

4x + 5 = 3x

x = -5

#### mmm4444bot

##### Super Moderator
Staff member
naevino said:
I ended up with x +5+3x Where is the equals sign?
To the left of the [Submit] button is the [Preview] button. You can use the [Preview] button to proofread your posts before submitting them.

#### Nikki33

##### New member
hi i have a math Question i need help on.
Can you help Me simplyfy it?

2 4/7n - 5 1/2 - 4 1/6n +9

#### mmm4444bot

##### Super Moderator
Staff member
Nikki33 said:
2 4/7n - 5 1/2 - 4 1/6n +9
I'm thinking that those are all mixed numbers, except for 9.

$$\displaystyle 2 \frac{4}{7} \cdot n \;-\; 5 \frac{1}{2} \;-\; 4 \frac{1}{6} \cdot n \;+\; 9$$

Convert all of the mixed numbers to improper fractions, and then combine like-terms.