How do you evaluate #(\frac { 2} { 5} + \frac { 8} { 35} ) + \frac { 3} { 7} #?

1 Answer
smendyka
Oct 9, 2017

See a solution process below:

Explanation:

First rewrite the expression as:

#2/5 + 8/35 + 3/7#

To add fractions they must be over a common denominator. We can change the denominator of a fraction by multiplying it by a form of #1# without changing the value of the fraction:

#(7/7 xx 2/5) + 8/35 + (5/5 xx 3/7) =>#

#(7 xx 2)/(7 xx 5) + 8/35 + (5 xx 3)/(5 xx 7) =>#

#14/35 + 8/35 + 25/35#

Now, we can add the numerators over the common denominators:

#(14 + 8 + 25)/35 =>#

#47/35#

If necessary, you can convert this to a mixed number:

#(35 + 12)/35 =>#

#35/35 + 12/35 =>#

#1 + 12/35 =>#

#1 12/35#

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