Question

hw 12.2_add & subtract rational expressions
score: 8/17 answered: 8/17
question 9
simplify and reduce to the lowest terms. (leave answer in factored form.)
\\(\frac{10}{7x} + \frac{4}{10x} =\\)

Explanation:

Step1: Find common denominator

The least common denominator of $7x$ and $10x$ is $70x$.

Step2: Rewrite fractions with common denominator

$\frac{10}{7x} = \frac{10 \times 10}{7x \times 10} = \frac{100}{70x}$, $\frac{4}{10x} = \frac{4 \times 7}{10x \times 7} = \frac{28}{70x}$

Step3: Add the numerators

$\frac{100}{70x} + \frac{28}{70x} = \frac{100 + 28}{70x}$

Step4: Simplify numerator and fraction

$\frac{128}{70x} = \frac{64}{35x}$ (already in simplest factored form)

Answer:

$\frac{64}{35x}$