Divide. 2 4/9 ÷ 1 7/9 = _____

Convert to Improper Fractions: Convert mixed numbers to improper fractions. 2 4/9 = (2*9 + 4)/9 = 22/9 1 7/9 = (1*9 + 7)/9 = 16/9Divide Fractions: Divide the fractions by multiplying the first fraction by the reciprocal of the second. (22/9) ÷ (16/9) = (22/9) * (9/16) = 198/144Simplify Fraction: Simplify the fraction. 198/144 can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 18. 198 ÷ 18 = 11, 144 ÷ 18 = 8 So, 198/144 simplifies to 11/8.Convert to Mixed Number: Convert the improper fraction back to a mixed number. 11/8 = 1 3/8

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Divide. $\newline$ $2\frac{4}{9}$ $\div$ $1\frac{7}{9}$ = _____

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Grade 6

Add, subtract, multiply, or divide two fractions

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Q. Divide.

\newline

2\frac{4}{9}

\div

1\frac{7}{9}

= _____

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $2 \frac{4}{9} = (2\times9 + 4)/9 = \frac{22}{9}$ $\newline$ $1 \frac{7}{9} = (1\times9 + 7)/9 = \frac{16}{9}$
Divide Fractions: Divide the fractions by multiplying the first fraction by the reciprocal of the second. $\newline$ $(\frac{22}{9}) \div (\frac{16}{9}) = (\frac{22}{9}) \times (\frac{9}{16}) = \frac{198}{144}$
Simplify Fraction: Simplify the fraction. $\newline$ $\frac{198}{144}$ can be simplified by dividing both numerator and denominator by their greatest common divisor, which is $18$ . $\newline$ $198 \div 18 = 11$ , $144 \div 18 = 8$ $\newline$ So, $\frac{198}{144}$ simplifies to $\frac{11}{8}$ .
Convert to Mixed Number: Convert the improper fraction back to a mixed number. $\frac{11}{8} = 1 \frac{3}{8}$