Question

subtract. simplify, if possible.

\\(\frac{w - 4}{w} - \frac{3w - 1}{11w}\\)

\\(\frac{w - 4}{w} - \frac{3w - 1}{11w} = \square\\)
(simplify your answer. use integers or fractions for any numbers in the expression.)

Explanation:

Find the least common denominator

Using the Least Common Denominator knowledge point

$$
LATEXBLOCK0
$$

Rewrite fractions with the common denominator

Using the Rational Expressions knowledge point

$$
LATEXBLOCK1
$$

Subtract the numerators

Subtract the numerators over the common denominator:

$$ \frac{(11w - 44) - (3w - 1)}{11w} $$

Simplify the numerator

Distribute the negative sign and combine like terms:

$$ \frac{11w - 44 - 3w + 1}{11w} = \frac{8w - 43}{11w} $$

Answer:

Subtract. Simplify, if possible.
\(\frac{w-4}{w} - \frac{3w-1}{11w} =\) <blank>\(\frac{8w-43}{11w}\)</blank>
(Simplify your answer. Use integers or fractions for any numbers in the expression.)