Divide. 1/10 ÷ 1/2=_____

Identify Multiplication Form: Identify the multiplication form of 1/10 ÷ 1/2. Dividing by a number is the same as multiplying by its reciprocal. 1/10 ÷ 1/2 = 1/10 * 2/1Multiply Fractions: Multiply 1/10 by 2/1. 1/10 * 2/1 = (1 * 2) / (10 * 1) = 2/10Simplify Fraction: Simplify the fraction 2/10. 2/10 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 2/10 ÷ 2/2 = (2 ÷ 2) / (10 ÷ 2) = 1/5

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Divide. $\newline$ $\frac{1}{10}\div\frac{1}{2}$

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Math Problems

Algebra 1

Multiply and divide rational numbers

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Q. Divide.

\newline

\frac{1}{10}\div\frac{1}{2}

Identify Multiplication Form: Identify the multiplication form of $\frac{1}{10} \div \frac{1}{2}$ . $\newline$ Dividing by a number is the same as multiplying by its reciprocal. $\newline$ $\frac{1}{10} \div \frac{1}{2} = \frac{1}{10} \times \frac{2}{1}$
Multiply Fractions: Multiply $\frac{1}{10}$ by $\frac{2}{1}$ . $\newline$ $\frac{1}{10} \times \frac{2}{1} = \left(\frac{1 \times 2}{10 \times 1}\right) = \frac{2}{10}$
Simplify Fraction: Simplify the fraction $\frac{2}{10}$ . $\newline$ $\frac{2}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{2}{10} = \frac{(2 \div 2)}{(10 \div 2)}$ $= \frac{1}{5}$