Question

dividing fractions and mixed numl tic-tac-toe round 2 wed 7/7 can you make a line of correct answers?
$2 \frac{8}{9} \div \frac{2}{3}$
$1 \frac{6}{8} \div \frac{4}{8}$
$3 \frac{2}{5} \div 1 \frac{2}{5}$
$8 \frac{1}{2} \div \frac{5}{8}$
$4 \frac{3}{8} \div \frac{1}{9}$
$3 \frac{1}{12} \div \frac{1}{2}$
$5 \frac{4}{10} \div \frac{1}{10}$
$2 \frac{6}{12} \div 8$
$\frac{5}{11} \div 2 \frac{1}{3}$

Explanation:

Step1: Convert mixed to improper fractions

$2\frac{8}{9}=\frac{26}{9}$, $1\frac{6}{8}=\frac{14}{8}$, $3\frac{2}{5}=\frac{17}{5}$, $1\frac{2}{5}=\frac{7}{5}$, $8\frac{1}{2}=\frac{17}{2}$, $4\frac{3}{8}=\frac{35}{8}$, $3\frac{1}{12}=\frac{37}{12}$, $5\frac{4}{10}=\frac{54}{10}$, $2\frac{6}{12}=\frac{30}{12}$, $2\frac{1}{3}=\frac{7}{3}$

Step2: Divide by multiplying reciprocal

Top row first problem:

$\frac{26}{9} \div \frac{2}{3} = \frac{26}{9} \times \frac{3}{2} = \frac{78}{18} = \frac{13}{3} = 4\frac{1}{3}$

Top row second problem:

$\frac{14}{8} \div \frac{4}{8} = \frac{14}{8} \times \frac{8}{4} = \frac{112}{32} = \frac{7}{2} = 3\frac{1}{2}$

Top row third problem:

$\frac{17}{5} \div \frac{7}{5} = \frac{17}{5} \times \frac{5}{7} = \frac{85}{35} = \frac{17}{7} = 2\frac{3}{7}$

Middle row first problem:

$\frac{17}{2} \div \frac{5}{8} = \frac{17}{2} \times \frac{8}{5} = \frac{136}{10} = \frac{68}{5} = 13\frac{3}{5}$

Middle row second problem:

$\frac{35}{8} \div \frac{1}{9} = \frac{35}{8} \times 9 = \frac{315}{8} = 39\frac{3}{8}$

Middle row third problem:

$\frac{37}{12} \div \frac{1}{2} = \frac{37}{12} \times 2 = \frac{74}{12} = \frac{37}{6} = 6\frac{1}{6}$

Bottom row first problem:

$\frac{54}{10} \div \frac{1}{10} = \frac{54}{10} \times 10 = 54$

Bottom row second problem:

$\frac{30}{12} \div 8 = \frac{30}{12} \times \frac{1}{8} = \frac{30}{96} = \frac{5}{16}$

Bottom row third problem:

$\frac{5}{11} \div \frac{7}{3} = \frac{5}{11} \times \frac{3}{7} = \frac{15}{77}$

Answer:

Top row left: $4\frac{1}{3}$
Top row middle: $3\frac{1}{2}$
Top row right: $2\frac{3}{7}$
Middle row left: $13\frac{3}{5}$
Middle row middle: $39\frac{3}{8}$
Middle row right: $6\frac{1}{6}$
Bottom row left: $54$
Bottom row middle: $\frac{5}{16}$
Bottom row right: $\frac{15}{77}$