Question

simplify each expression to a single equivalent fraction. determine the lcd. always reduce to lowest terms.

1. $\frac{4}{6x} - \frac{2}{3x} + \frac{5}{2x}=$

lcd:
restrictions:

1. $\frac{x}{10} - \frac{2x}{5} + \frac{3x}{2}=$

lcd:
restrictions:

1. ms. jones is organizing a trip to spain for her students. she needs a ratio of 1 parent for every 4 students. she has already recruited 2 parents and 32 students, but needs more parents. write the equation that will determine how many additional parents she needs and then solve.

$\frac{1p}{4s} + \frac{2p}{32s} = \frac{xp}{4s}$
solve these rational equations. factoring is necessary. determine the excluded values and be sure to check your answers

1. $\frac{1}{x+5} = \frac{2}{x^{2}+10x+25}$

restrictions:
answer:

1. $\frac{1}{x+3} = \frac{1}{x^{2}+8x+15}$

restrictions:
answer:
solve each work problem.

1. cody can pick forty bushels of peaches in 11 hours. ashley can pick the same amount in 9 hours. is it reasonable that they could work together to pick forty bushels in under 5 and a half hours? yes or no must show work

$\frac{40}{11} + \frac{40}{9} = 1$
no it takes 8 hours

Explanation:

Answer:

1. $\frac{5}{6x}$; LCD: $6x$; Restrictions: $x

eq 0$

1. $\frac{12x}{10}$ or $\frac{6x}{5}$; LCD: $10$; Restrictions: None
2. Equation: $\frac{2 + p}{32} = \frac{1}{4}$; $p = 6$
3. Restrictions: $x

eq -5$; Answer: $x = -3$

1. Restrictions: $x

eq -3, -5$; No solution

1. YES; Combined time: $\frac{99}{20} = 4.95$ hours