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Evaluate.

(2)/(5)÷(1)/(6)=

Evaluate. $\newline$ $\frac{2}{5} \div \frac{1}{6}=$

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Multiply and divide rational numbers

Full solution

Q. Evaluate.

\newline

\frac{2}{5} \div \frac{1}{6}=

Identify division problem: Identify the division problem involving two fractions. $\newline$ We have $(\frac{2}{5}) \div (\frac{1}{6})$ and need to find the quotient.
Recall reciprocal and multiply: Recall that dividing by a fraction is the same as multiplying by its reciprocal. $\newline$ The reciprocal of $(\frac{1}{6})$ is $\frac{6}{1}$ . $\newline$ So, $(\frac{2}{5}) \div (\frac{1}{6})$ is the same as $(\frac{2}{5}) \times (\frac{6}{1})$ .
Perform multiplication: Perform the multiplication of the two fractions. $\newline$ Multiply the numerators together and the denominators together. $\newline$ $(\frac{2}{5}) \times (\frac{6}{1}) = (\frac{2 \times 6}{5 \times 1}) = \frac{12}{5}$ .
Check for simplification: Check if the fraction can be simplified. $\frac{12}{5}$ is already in simplest form, as $12$ and $5$ have no common factors other than $1$ .

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