Divide. 1/2 ÷ 1 1/4 = _____

Convert to Improper Fraction: Convert 1 1/4 to an improper fraction. 1 1/4 = 1 + 1/4 = (4/4) + (1/4) = 5/4 Set Up Division Problem: Set up the division of fractions problem. 1/2 ÷ 5/4 Convert to Multiplication: Convert the division problem to multiplication by using the reciprocal of the second fraction. 1/2 × 4/5 = (1×4) / (2×5) = 4/10 Simplify Fraction: Simplify the fraction. 4/10 = 2/5

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$\newline$ $\frac{1}{2}$ $\div$ $1\frac{1}{4}$ = $\_\_\_\_\_$

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Math Problems

Grade 6

Add, subtract, multiply, or divide two fractions

Full solution

\newline

\frac{1}{2}

\div

1\frac{1}{4}

\_\_\_\_\_

Convert to Improper Fraction: Convert $1\frac{1}{4}$ to an improper fraction. $\newline$ $1\frac{1}{4} = 1 + \frac{1}{4} = \left(\frac{4}{4}\right) + \left(\frac{1}{4}\right) = \frac{5}{4}$
Set Up Division Problem: Set up the division of fractions problem. $\frac{1}{2} \div \frac{5}{4}$
Convert to Multiplication: Convert the division problem to multiplication by using the reciprocal of the second fraction. $\newline$ $\frac{1}{2} \times \frac{4}{5} = \frac{1\times4}{2\times5} = \frac{4}{10}$
Simplify Fraction: Simplify the fraction. $\frac{4}{10} = \frac{2}{5}$