Question

I dont get this Rewrite the equation below so that it does not have fractions. 2-(3)/(4)x=(9)/(10) Do not use decimals in your answer.

Answer 1

Answer:

Suppose we have an equation like:

$\frac{A}{C} = \frac{B}{D}$

If we want to remove the denominators, we should multiply both sides by each denominator.

First, let's multiply both sides by C.

$\frac{A}{C}*C = \frac{B}{D}*C$

$A = \frac{B}{D}*C$

Now let's multiply both sides by D.

$A*D = \frac{B}{D}*C*D$

$A*D = B*C$

So now we removed the denominators.

Now let's do this to our expression.

$2 - \frac{3}{4*x} = \frac{9}{10}$

First, let's multiply both sides by 10

$(2 - \frac{3}{4*x})*10 = \frac{9}{10}*10$

$20 + \frac{30}{4*x} = 9$

Now let's multiply both sides by 4*x

$(20 + \frac{30}{4*x})*4*x = 9*4*x$

$20*4*x - 30 = 9*4*x$

$80*x - 30 = 36*x$

Now we can solve this for x:

$80*x - 36*x = 30$

$44*x = 30$

$x = \frac{30}{44} = 0.68$