Evaluate. (2)/(5)÷(1)/(6)=

Identify division problem: Identify the division problem involving two fractions. We have (2/5) ÷ (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. The reciprocal of (1/6) is 6/1. So, (2/5) ÷ (1/6) is the same as (2/5) * (6/1).Perform multiplication: Perform the multiplication of the two fractions. Multiply the numerators together and the denominators together. (2/5) * (6/1) = (2 * 6) / (5 * 1) = 12 / 5.Check for simplification: Check if the fraction can be simplified. 12/5 is already in simplest form, as 12 and 5 have no common factors other than 1.

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

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Math Problems

Grade 8

Multiply and divide rational numbers

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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 $1$ .