What is #\frac { 4} { 14}+ \frac { 1} { 7}#?

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Answer 1 · 2018-03-08T22:32:53

#3/7#

This is the general method.

Start by making both denominators equal by multiplying each fraction top and bottom with the denomintor of the other fraction:

So,
#4/14 = (4/14) (7/7) = (4*7)/(14 * 7)#

#1/7 = (1/7) (14/14) = (14)/(7 * 14)#

Denominators are equal so add the numerators and divide:

#(28 + 14)/(7*14)# = #42/(7*14)# = #6/14#

Which can be simplified further #3/7#