M Mizuki New member Joined Nov 7, 2006 Messages 10 Nov 7, 2006 #1 Okay, here's the problem, (5/2)x + (1/4) +(3/4)x = (1/8) The fractions are in parenthesis so I don't confuse anyone. x_X I really dislike fractions. I'm wondering if I start by taking the 1/8 divided by 3/4 or what...Can someone show me how i'm supposed to work this problem?

Okay, here's the problem, (5/2)x + (1/4) +(3/4)x = (1/8) The fractions are in parenthesis so I don't confuse anyone. x_X I really dislike fractions. I'm wondering if I start by taking the 1/8 divided by 3/4 or what...Can someone show me how i'm supposed to work this problem?

G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,216 Nov 7, 2006 #2 Subtract 1/4 from both sides: \(\displaystyle \L\\\frac{5}{2}x+\frac{3}{4}x=\frac{-1}{8}\) Now, you have to make the denominators the same so you can add. Multiply num and den of 5/2 by 2/2: \(\displaystyle \L\\\frac{2}{2}\cdot\frac{5}{2}x+\frac{3}{4}x=\frac{-1}{8}\) \(\displaystyle \L\\\frac{10}{4}x+\frac{3}{4}x=\frac{-1}{8}\) Finish up?. That's not so hard, is it?.

Subtract 1/4 from both sides: \(\displaystyle \L\\\frac{5}{2}x+\frac{3}{4}x=\frac{-1}{8}\) Now, you have to make the denominators the same so you can add. Multiply num and den of 5/2 by 2/2: \(\displaystyle \L\\\frac{2}{2}\cdot\frac{5}{2}x+\frac{3}{4}x=\frac{-1}{8}\) \(\displaystyle \L\\\frac{10}{4}x+\frac{3}{4}x=\frac{-1}{8}\) Finish up?. That's not so hard, is it?.

D Denis Senior Member Joined Feb 17, 2004 Messages 1,486 Nov 7, 2006 #3 Mizuki said: (5/2)x + (1/4) +(3/4)x = (1/8) Click to expand... Remember that the likes of (5/2)x is same as 5x / 2 (that's 5 times x, then divide by 2) So your equation can be rewritten: 5x/2 + 3x/4 = 1/8 - 1/4 Now you can clearly see ALL the denominators, and that 8 is the lcm; so multiply each by 8: 20x + 6x = 1 - 2 26x = -1 x = -1/26 : kapish kapush?

Mizuki said: (5/2)x + (1/4) +(3/4)x = (1/8) Click to expand... Remember that the likes of (5/2)x is same as 5x / 2 (that's 5 times x, then divide by 2) So your equation can be rewritten: 5x/2 + 3x/4 = 1/8 - 1/4 Now you can clearly see ALL the denominators, and that 8 is the lcm; so multiply each by 8: 20x + 6x = 1 - 2 26x = -1 x = -1/26 : kapish kapush?