Question

adding fractions and mixed numbers
tic-tac-toe round 3 thurs. 7/8
can you make a line of correct answers?
$2\frac{3}{8} \div \frac{1}{7}$ $4\frac{3}{7} \div 2\frac{2}{8}$ $5\frac{1}{11} \div 1\frac{2}{3}$
$6\frac{7}{8} \div \frac{3}{7}$ $\frac{1}{8} \div 2\frac{3}{7}$ $4\frac{1}{15} \div \frac{1}{3}$
$\frac{3}{5} \div 2\frac{2}{3}$ $5\frac{7}{12} \div 1\frac{3}{4}$ $4\frac{2}{5} \div \frac{3}{10}$

Explanation:

Step1: Convert mixed to improper fraction

$2\frac{3}{8} = \frac{2\times8+3}{8} = \frac{19}{8}$

Step2: Flip divisor, multiply

$\frac{19}{8} \times 7 = \frac{133}{8} = 16\frac{5}{8}$

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Step1: Convert mixed to improper fraction

$4\frac{3}{7} = \frac{4\times7+3}{7} = \frac{31}{7}$; $2\frac{2}{8} = \frac{2\times8+2}{8} = \frac{18}{8} = \frac{9}{4}$

Step2: Flip divisor, multiply

$\frac{31}{7} \times \frac{4}{9} = \frac{124}{63} = 1\frac{61}{63}$

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Step1: Convert mixed to improper fraction

$5\frac{1}{11} = \frac{5\times11+1}{11} = \frac{56}{11}$; $1\frac{2}{3} = \frac{1\times3+2}{3} = \frac{5}{3}$

Step2: Flip divisor, multiply

$\frac{56}{11} \times \frac{3}{5} = \frac{168}{55} = 3\frac{3}{55}$

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Step1: Convert mixed to improper fraction

$6\frac{7}{8} = \frac{6\times8+7}{8} = \frac{55}{8}$

Step2: Flip divisor, multiply

$\frac{55}{8} \times \frac{7}{3} = \frac{385}{24} = 16\frac{1}{24}$

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Step1: Convert mixed to improper fraction

$2\frac{3}{7} = \frac{2\times7+3}{7} = \frac{17}{7}$

Step2: Flip divisor, multiply

$\frac{1}{8} \times \frac{7}{17} = \frac{7}{136}$

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Step1: Convert mixed to improper fraction

$4\frac{1}{15} = \frac{4\times15+1}{15} = \frac{61}{15}$

Step2: Flip divisor, multiply

$\frac{61}{15} \times 3 = \frac{183}{15} = \frac{61}{5} = 12\frac{1}{5}$

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Step1: Convert mixed to improper fraction

$2\frac{2}{3} = \frac{2\times3+2}{3} = \frac{8}{3}$

Step2: Flip divisor, multiply

$\frac{3}{5} \times \frac{3}{8} = \frac{9}{40}$

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Step1: Convert mixed to improper fraction

$5\frac{7}{12} = \frac{5\times12+7}{12} = \frac{67}{12}$; $1\frac{3}{4} = \frac{1\times4+3}{4} = \frac{7}{4}$

Step2: Flip divisor, multiply

$\frac{67}{12} \times \frac{4}{7} = \frac{268}{84} = \frac{67}{21} = 3\frac{4}{21}$

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Step1: Convert mixed to improper fraction

$4\frac{2}{5} = \frac{4\times5+2}{5} = \frac{22}{5}$

Step2: Flip divisor, multiply

$\frac{22}{5} \times \frac{10}{3} = \frac{220}{15} = \frac{44}{3} = 14\frac{2}{3}$

Answer:

1. $16\frac{5}{8}$
2. $1\frac{61}{63}$
3. $3\frac{3}{55}$
4. $16\frac{1}{24}$
5. $\frac{7}{136}$
6. $12\frac{1}{5}$
7. $\frac{9}{40}$
8. $3\frac{4}{21}$
9. $14\frac{2}{3}$