Divide. 4/9 ÷ 1 1/9 = _____

Convert to Improper Fraction: Convert the mixed number 1 1/9 to an improper fraction. 1 1/9 = 1 + 1/9 = (9/9) + (1/9) = 10/9Multiply by Reciprocal: Perform the division of fractions by multiplying by the reciprocal. 4/9 ÷ 10/9 = 4/9 * 9/10 = (4*9)/(9*10) = 36/90Simplify Fraction: Simplify the fraction 36/90. Greatest common divisor of 36 and 90 is 18, so divide both numerator and denominator by 18. 36/90 = (36/18)/(90/18) = 2/5

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Divide. $\newline$ $\frac{4}{9}$ $\div$ $1\frac{1}{9}$ = $\_\_\_\_\_$

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Grade 6

Add, subtract, multiply, or divide two fractions

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Q. Divide.

\newline

\frac{4}{9}

\div

1\frac{1}{9}

\_\_\_\_\_

Convert to Improper Fraction: Convert the mixed number $1 \frac{1}{9}$ to an improper fraction. $\newline$ $1 \frac{1}{9} = 1 + \frac{1}{9} = \left(\frac{9}{9}\right) + \left(\frac{1}{9}\right) = \frac{10}{9}$
Multiply by Reciprocal: Perform the division of fractions by multiplying by the reciprocal. $\frac{4}{9} \div \frac{10}{9} = \frac{4}{9} \times \frac{9}{10} = \frac{4\times9}{9\times10} = \frac{36}{90}$
Simplify Fraction: Simplify the fraction $\frac{36}{90}$ . Greatest common divisor of $36$ and $90$ is $18$ , so divide both numerator and denominator by $18$ . $\frac{36}{90} = \frac{(36/18)}{(90/18)} = \frac{2}{5}$