anonymous one year ago Solve the proportion to determine the value of x. 5x−4/4x+7 = 13/11

1. DecentNabeel

$\frac{5x-4}{4x+11}=\frac{13}{11}\quad :\quad x=\frac{187}{3}$

2. anonymous

How did you get that

3. DecentNabeel

$\frac{5x-4}{4x+11}=\frac{13}{11}$ $\mathrm{Multiply\:by\:LCD=}11\left(4x+11\right)$ $11\left(5x-4\right)=13\left(4x+11\right)$ $\mathrm{Expand}\:11\left(5x-4\right):\quad 55x-44$ $\mathrm{Expand}\:13\left(4x+11\right):\quad 52x+143$ $55x-44=52x+143$ add 44 on both sides $55x=52x+187$ subtract 52 on both sides $3x=187$ divided 3 on both sides x=187/3

4. DecentNabeel

are you understand @JayWasHere

5. anonymous

What is LCD

6. DecentNabeel

Least Common Denominator fractions have "Common Denominators" when their denominators are the same. the "Least Common Denominator" is the smallest number that can be used for all denominators of 2 or more fractions. It makes it easy to add and subtract the fractions