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Divide. $\newline$ $\frac{1}{10}\div\frac{1}{6}=$ _____

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Multiply and divide rational numbers

Full solution

Q. Divide.

\newline

\frac{1}{10}\div\frac{1}{6}=

_____

Multiply by Reciprocal: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. $\frac{1}{10} \div \frac{1}{6} = \frac{1}{10} \times \frac{6}{1}$
Multiply Numerators and Denominators: Now, we multiply the numerators and the denominators of the fractions. $\newline$ $(1 \times 6) / (10 \times 1) = 6 / 10$
Simplify Fraction: The fraction $\frac{6}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{6}{10} = \left(\frac{6 \div 2}{10 \div 2}\right) = \frac{3}{5}$

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