Answer:
[tex] \frac{5}{6} [/tex]
Step-by-step explanation:
First, change the mixed fractions into improper fractions by multiplying the whole number by the denominator and then adding the numerator.
[tex]2 \times \frac{1}{3} = \frac{2}{} \times \frac{3}{3} + {1} = \frac{7}{3} [/tex]
[tex]1 \times \frac{1}{2} \frac{1}{} \times \frac{2}{2} + 1 = \frac{3}{2} [/tex]
Next, find a common denominator and then multiply the top and the bottom by the same number.
[tex] \frac{7}{3} \times \frac{2}{2} = \frac{14}{6} [/tex]
[tex] \frac{3}{2} \times \frac{3}{3} = \frac{9}{6} [/tex]
Subtract the numerators.
[tex]14 \: \times 19 = 5[/tex]
Make sure to keep the denominator.
[tex] \frac{5}{6} [/tex]
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