Divide. Simplify your answer. 17n^2p^2/12p ÷ 13np ______

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, (17n^2p^2/12p) ÷ (13np) becomes (17n^2p^2/12p) × (1/13np).Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, (17n^2p^2/12p) × (1/13np) becomes (17n^2p^2) / (12p × 13np).Simplify by canceling common factors: Simplify the expression by canceling out common factors. In the numerator, we have n^2 and p^2, and in the denominator, we have n and p, which can be simplified. So, (17n^2p^2) / (12 × 13np) simplifies to (17np) / (12 × 13).Multiply constants in denominator: Multiply the constants in the denominator. So, (17np) / (12 × 13) becomes (17np) / (156).Write in simplest form: Write the answer in the simplest form. The fraction (17np) / (156) is already in its simplest form because 17 and 156 have no common factors other than 1.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Divide. Simplify your answer. $\newline$ $\frac{17n^2p^2}{12p} \div 13np$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply and divide rational expressions

Full solution

Q. Divide. Simplify your answer.

\newline

\frac{17n^2p^2}{12p} \div 13np

Rewrite as multiplication: Rewrite the division as a multiplication by taking the reciprocal of the second fraction. So, $(17n^2p^2/12p) \div (13np)$ becomes $(17n^2p^2/12p) \times (1/13np)$ .
Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, $(17n^2p^2/12p) \times (1/13np)$ becomes $(17n^2p^2) / (12p \times 13np)$ .
Simplify by canceling common factors: Simplify the expression by canceling out common factors. In the numerator, we have $n^2$ and $p^2$ , and in the denominator, we have $n$ and $p$ , which can be simplified. So, $(17n^2p^2) / (12 \times 13np)$ simplifies to $(17np) / (12 \times 13)$ .
Multiply constants in denominator: Multiply the constants in the denominator. So, $(17np) / (12 \times 13)$ becomes $(17np) / (156)$ .
Write in simplest form: Write the answer in the simplest form. The fraction $(17np) / (156)$ is already in its simplest form because $17$ and $156$ have no common factors other than $1$ .