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 $3/7$

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