+0  
 
0
42
2
avatar

\({x - 1 \over 3}\)-\({2x - 5 \over 4}\)=\({5 \over 12}\) + \({x \over 6}\)

 

I'm extremely lost... I'm not really sure how to do this.

 

I know that the LCD: (3)(4)(6)... right?

 

Am I just basically multiplying the LCD with each fraction?

 

The text got this: \({4(x - 1) - 3(2x - 5) = 5 + 2x}\)

How do I get this answer?

Guest Apr 3, 2018
Sort: 

2+0 Answers

 #1
avatar+333 
+2

The LCD is actually just 3*4. This is because 12/6 = 2. When you multiply this to each fraction, you get the answer that the text gave.

 

smiley

Mathhemathh  Apr 3, 2018
 #2
avatar+92206 
+2

\(\frac{x-1}{3}-\frac{2x-5}{4}=\frac{5}{12}+\frac{x}{6}\\ \text{Multiply BOTH sides by the lowest common denominator which is 12}\\ 12\left[\frac{x-1}{3}-\frac{2x-5}{4}\right]=12\left[\frac{5}{12}+\frac{x}{6}\right]\\ \frac{12(x-1)}{3}-\frac{12(2x-5)}{4}=\frac{12*5}{12}+\frac{12x}{6}\\ 4(x-1)-3(2x-5)=5+2x\\ 4x-4-6x+15=5+2x\\ etc\)

Melody  Apr 3, 2018

9 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details