Divide. Write your answer in simplest form. (1)/(7)÷(5)/(2)=" ? "

Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction. (1/7) ÷ (5/2) = (1/7) * (2/5)Multiply numerators and denominators: Now, multiply the numerators and the denominators. (1 * 2) / (7 * 5) = 2 / 35Check for simplification: Check if the fraction can be simplified further. Since 2 and 35 have no common factors other than 1, the fraction is already in simplest form.

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Divide.
Write your answer in simplest form.

(1)/(7)÷(5)/(2)=" ? "

Divide. $\newline$ Write your answer in simplest form. $\newline$ $\frac{1}{7} \div \frac{5}{2}=?$

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Algebra 2

Multiply and divide rational expressions

Full solution

Q. Divide.

\newline

Write your answer in simplest form.

\newline

\frac{1}{7} \div \frac{5}{2}=?

Write as multiplication: First, let's write the division as a multiplication by the reciprocal of the second fraction. $\newline$ $(\frac{1}{7}) \div (\frac{5}{2}) = (\frac{1}{7}) \times (\frac{2}{5})$
Multiply numerators and denominators: Now, multiply the numerators and the denominators. $\newline$ $(1 \times 2) / (7 \times 5) = 2 / 35$
Check for simplification: Check if the fraction can be simplified further. $\newline$ Since $2$ and $35$ have no common factors other than $1$ , the fraction is already in simplest form.