Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{7q}{3} - \frac{3}{5}$

View step-by-step help

View step-by-step help

Add and subtract rational expressions

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{7q}{3} - \frac{3}{5}

Identify LCD: Identify the least common denominator (LCD) for the fractions $\frac{7q}{3}$ and $\frac{3}{5}$ . The denominators are $3$ and $5$ , so the LCD is their least common multiple, which is $15$ .
Rewrite fractions: Rewrite each fraction with the common denominator of $15$ . For the first fraction, multiply both the numerator and the denominator by $5$ to get $\frac{7q \times 5}{3 \times 5} = \frac{35q}{15}$ . For the second fraction, multiply both the numerator and the denominator by $3$ to get $\frac{3 \times 3}{5 \times 3} = \frac{9}{15}$ .
Combine fractions: Combine the fractions with the common denominator. $\newline$ Now that both fractions have the same denominator, we can combine them as follows: $\newline$ $(\frac{35q}{15}) - (\frac{9}{15}) = \frac{35q - 9}{15}$
Check for simplification: Check if the resulting fraction can be simplified further. $\newline$ The numerator $35q - 9$ and the denominator $15$ do not have any common factors other than $1$ , so the fraction is already in its simplest form.

More problems from Add and subtract rational expressions

Question

Evaluate the expression for

t = -4.4

\newline

Write your answer in simplest form.

\newline

` frac{t - 4}{t - 2} =` ____

Posted 1 month ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{g}{3g^2 - 4g}

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\frac{3}{2} - \frac{5p^3}{3}

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{1 + \frac{v^5w}{3}}{1}

\newline

Posted 2 months ago

Question

h

\newline

\frac{-5}{h - 2} = \frac{-4}{h - 3}

\newline

1

2

\newline

h =

h =

Posted 1 month ago

Question

What is the equation of the vertical asymptote of

y = \frac{1}{x + 9}

Posted 2 months ago

Question

What is the excluded value for

y = \frac{1}{x - 9} - 9

\newline

Posted 2 months ago

Question

Simplify. Write your answer using whole numbers and variables.

\newline

\frac{9k + 4}{9k^2 + 4k}

\newline

Posted 2 months ago

Question

Divide. Write your answer in simplest form.

\newline

\frac{g- 1}{10g^3 + 25g^2} \div (g- 1)

\newline

Posted 2 months ago

Question

Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{5 - \frac{3}{t^3}}{1}

\newline

Posted 2 months ago