91Ó°ÊÓ

In the following exercise, simplify:$(\frac{3}{4}+\frac{1}{6})÷(\frac{5}{8}-\frac{1}{3})$

Evaluate variable expressions with fractions.

$x+\left(-\frac{5}{6}\right)$when

(a)$x=\frac{1}{3}$

(b)$x=-\frac{1}{6}$

Evaluate variable expressions with fractions.

$x+\left(-\frac{11}{12}\right)$when

(a)$x=\frac{11}{12}$

(b)$x=\frac{3}{4}$

Evaluate variable expressions with fractions.

$x-\frac{2}{5}$when

(a)$x=\frac{3}{5}$

(b)$x=-\frac{3}{5}$

Find Prime Factorizations and Least Common Multiples

In the following exercises, find the prime factorization.

$455$

Evaluate variable expressions with fractions.

$x-\frac{1}{3}$when

(a)$x=\frac{2}{3}$

(b)$x=-\frac{2}{3}$

Evaluate variable expressions with fractions.

$\frac{7}{10}-w$when

(a)$w=\frac{1}{2}$

(b)$w=-\frac{1}{2}$

Evaluate variable expressions with fractions.

$\frac{5}{12}-w$when

(a)$w=\frac{1}{4}$

(b)$w=-\frac{1}{4}$

Evaluate variable expressions with fractions.

$2x^2{y}^3$when $x=-\frac{2}{3}$and $y=-\frac{1}{2}$

Evaluate variable expressions with fractions.

$8u^2{v}^3$when $u=-\frac{3}{4}$and$v=-\frac{1}{2}$