How do you simplify $(2 1/3+1 2/5)+3 2/3$ ?

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Answer 1 · 2018-07-07T07:20:12

$37/5$

Given: $(2 1/3 + 1 2/5 ) + 3 2/3$

First switch each mixed number to an improper fraction:

$(2 1/3 + 1 2/5 ) + 3 2/3 = (7/3 + 7/5) + 11/3$

Find a common denominator for $33$ and $5: " "15$

Multiply each fraction by $1$ to get our common denominator so we can add the fractions:

$(5/5 * 7/3 + 3/3 * 7/5) + 5/5 * 11/3$

$(35/15 + 21/15) + 55/15 = 111/15$

Now reduce, since $1+1+1 = 3$ which means $111$ is divisable by $3$ :

$111/15 -: 3/3 = 37/5$

How do you simplify (2 1/3+1 2/5)+3 2/3(2 1/3+1 2/5)+3 2/3?