Question

How do you simplify `(4 3/5+6 1/3)+2 3/5`?

Answer 1

`13 8/15`

Explanation:

The brackets are not necessary because there is only addition.

`4 3/5 +6 1/3 +2 3/5" "larr` add the whole numbers

=`12 (9+5+9)/15 " "larr` convert to a common denominator `darr`

=`12 23/15`

=`12 + 1 8/15`

=`13 8/15`

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converting to equivalent fractions:

`3/5 xx 3/3 = 9/15`

`1/3 xx 5/5 = 5/15`

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The method of converting all the fractions to improper fractions is also possible, but leads to large numbers.