Solve for x. (1)/(4)-(4)/(x)=(3)/(4x) Answer: x=

Combine fractions over common denominator: Combine the terms on the left side of the equation over a common denominator. To combine the fractions (1/4) and (-4/x), we need a common denominator, which is 4x. (1/4) - (4/x) = (x/4x) - (16/4x)Rewrite equation with combined fraction: Rewrite the equation with the combined fraction. Now that we have a common denominator, we can write the left side as a single fraction. (x - 16)/(4x) = (3/4x)Set numerators equal: Since the denominators are the same, we can set the numerators equal to each other. x - 16 = 3Solve for x: Solve for x by adding 16 to both sides of the equation. x - 16 + 16 = 3 + 16 x = 19

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Solve for
x.

(1)/(4)-(4)/(x)=(3)/(4x)
Answer:
x=

Solve for $x$ . $\newline$ $\frac{1}{4}-\frac{4}{x}=\frac{3}{4 x}$ $\newline$ Answer: $x=$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Solve for

x

\newline

\frac{1}{4}-\frac{4}{x}=\frac{3}{4 x}

\newline

Answer:

x=

Combine fractions over common denominator: Combine the terms on the left side of the equation over a common denominator. $\newline$ To combine the fractions $(\frac{1}{4})$ and $(-\frac{4}{x})$ , we need a common denominator, which is $4x$ . $\newline$ $(\frac{1}{4}) - (\frac{4}{x}) = (\frac{x}{4x}) - (\frac{16}{4x})$
Rewrite equation with combined fraction: Rewrite the equation with the combined fraction. $\newline$ Now that we have a common denominator, we can write the left side as a single fraction. $\newline$ $(x - 16)/(4x) = (3/4x)$
Set numerators equal: Since the denominators are the same, we can set the numerators equal to each other. $x - 16 = 3$
Solve for x: Solve for x by adding $16$ to both sides of the equation. $\newline$ $x - 16 + 16 = 3 + 16$ $\newline$ $x = 19$