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

Mar 8, 2018

$\frac{3}{7}$

#### Explanation:

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,
$\frac{4}{14} = \left(\frac{4}{14}\right) \left(\frac{7}{7}\right) = \frac{4 \cdot 7}{14 \cdot 7}$

$\frac{1}{7} = \left(\frac{1}{7}\right) \left(\frac{14}{14}\right) = \frac{14}{7 \cdot 14}$

Denominators are equal so add the numerators and divide:

$\frac{28 + 14}{7 \cdot 14}$ = $\frac{42}{7 \cdot 14}$ = $\frac{6}{14}$

Which can be simplified further $\frac{3}{7}$