Divide. 2 3/4 ÷ 2 4/9 = _____

Convert to improper fractions: Convert mixed numbers to improper fractions. 2 3/4 = (2*4 + 3)/4 = 11/4 2 4/9 = (2*9 + 4)/9 = 22/9Perform division by reciprocal: Perform division by multiplying by the reciprocal. (11/4) ÷ (22/9) = (11/4) * (9/22)Simplify multiplication: Simplify the multiplication. (11 * 9) / (4 * 22) = 99 / 88Simplify the fraction: Simplify the fraction. 99/88 = 1 11/88 = 1 1/8

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Divide. $\newline$ $2\frac{3}{4}$ $\div$ $2\frac{4}{9}$ = _____

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Grade 6

Add, subtract, multiply, or divide two fractions

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Q. Divide.

\newline

2\frac{3}{4}

\div

2\frac{4}{9}

= _____

Convert to improper fractions: Convert mixed numbers to improper fractions. $\newline$ $2 \frac{3}{4} = (2\times4 + 3)/4 = \frac{11}{4}$ $\newline$ $2 \frac{4}{9} = (2\times9 + 4)/9 = \frac{22}{9}$
Perform division by reciprocal: Perform division by multiplying by the reciprocal. $\newline$ $(\frac{11}{4}) \div (\frac{22}{9}) = (\frac{11}{4}) \times (\frac{9}{22})$
Simplify multiplication: Simplify the multiplication. $\newline$ $(11 \times 9) / (4 \times 22) = 99 / 88$
Simplify the fraction: Simplify the fraction. $\frac{99}{88} = 1 \frac{11}{88} = 1 \frac{1}{8}$