How do you simplify $3 \frac{1}{3} + 2 \frac{4}{5}$ ?

Question

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Answer 1

$3 \frac{1}{3} + 2 \frac{4}{5} = 3 + 2 + \frac{1}{3} + \frac{4}{5}$
Convert the fractions so they have the same denominators
$= 3 + 2 + \frac{5}{1 5} + \frac{1 2}{1 5}$
Add the fractions
$= 3 + 2 + \frac{1 7}{1 5}$
convert the improper fraction into a mixed fraction
$= 3 + 2 + 1 + \frac{2}{1 5}$
Add the integer terms
$= 6 + \frac{2}{1 5}$
write as a standard mixed fraction
$= 6 \frac{2}{1 5}$

Answer 2

3 \frac{1}{3} + 2 \frac{4}{5} = 3 + 2 + \frac{1}{3} + \frac{4}{5}

Convert the fractions so they have the same denominators

= 3 + 2 + \frac{5}{1 5} + \frac{1 2}{1 5}

Add the fractions

= 3 + 2 + \frac{1 7}{1 5}

convert the improper fraction into a mixed fraction

= 3 + 2 + 1 + \frac{2}{1 5}

Add the integer terms

= 6 + \frac{2}{1 5}

write as a standard mixed fraction

= 6 \frac{2}{1 5}