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

Question

2974 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-08T11:18:19

$13 8/15$

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 $darr$

= $12 23/15$

= $12 + 1 8/15$

= $13 8/15$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
converting to equivalent fractions:

$3/5 xx 3/3 = 9/15$

$1/3 xx 5/5 = 5/15$

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

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