Divide. Write your answer in simplest form. (1)/(9)÷(5)/(4)=" ? "

Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. (1)/(9) ÷ (5)/(4) = (1)/(9) * (4)/(5)Multiply numerators and denominators: Multiply the numerators and the denominators. (1 * 4)/(9 * 5) = 4/45Check for simplification: Check if the fraction can be simplified. 4 and 45 have no common factors other than 1, so the fraction is already in simplest form.

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Divide.
Write your answer in simplest form.

(1)/(9)÷(5)/(4)=" ? "

Divide. $\newline$ Write your answer in simplest form. $\newline$ $\frac{1}{9} \div \frac{5}{4}=?$

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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}{9} \div \frac{5}{4}=?

Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. $\newline$ (\frac{$1$}{$9$}) \div (\frac{$5$}{$4$}) = (\frac{$1$}{$9$}) \times (\frac{$4$}{$5$})
Multiply numerators and denominators: Multiply the numerators and the denominators.\(\newline $(1 \times 4)/(9 \times 5) = 4/45$
Check for simplification: Check if the fraction can be simplified. $4$ and $45$ have no common factors other than $1$ , so the fraction is already in simplest form.