How do you simplify 3/14 + 17/63?

Feb 14, 2017

See the entire simplification process below:

Explanation:

First, we need to multiply each fraction by the appropriate form of $1$ to have each fraction over a common denominator:

$2 \times 63 = 126$

$9 \times 14 = 126$

Therefore we need to multiply $\frac{3}{14}$ by $\frac{9}{9}$ and we need to multiply $\frac{17}{63}$ by $\frac{2}{2}$.

$\frac{3}{14} + \frac{17}{63}$ becomes:

$\left(\frac{9}{9} \times \frac{3}{14}\right) + \left(\frac{2}{2} \times \frac{17}{63}\right) \to$

$\frac{27}{126} + \frac{34}{126}$

Now, with each fraction over a common denominator we can add the numerators:

$\frac{27 + 34}{163} \to$

$\frac{61}{163}$

Feb 14, 2017

61/126

Explanation:

By simplify i think you mean complete so here's how I would go about this question:

Firstly I would multiply the two denominators together to get 882 so that will be the denominator for the answer then for the numerator I would multiply 63 and 3, and 14 and 17 from opposing sides.

and then you end up with two values which are 238 and 189 then you add them up and that is what the question asks you to do to get an answer of 427,

then you add the bottom of the fraction to it to give a full answer of 427/882; then you go about simplifying it (I used a calculator) so think about multiples that both numbers share and eventually the fraction will simplify to 61/126.

Hopefully this helped...