Question

What is the sum of 1/8+5/16+3/8?

Answer 1

$\frac{1}{8}+\frac{5}{16}+\frac{3}{8}$

Firsr we have to make sure that all of the enominators are the same , before we can proceed with the addition. We have to convert the fraction so it willl have the same denominator. We will use the greatest denominator, 16.

$\frac{1}{8}=\frac{\text{?}}{16}$

We can do that by cross multiplication,

$\begin{gathered} \frac{1\cdot16}{8}=\text{?} \\ \questeq2 \\ \end{gathered}$

Thus,

$\frac{1}{8}=\frac{2}{16}$

We, will do the same for 3/8,

$\begin{gathered} \frac{3}{8}=\frac{?}{16} \\ \frac{3\cdot16}{8}=\frac{48}{8}=6 \\ \end{gathered}$

Thus,

$\frac{3}{8}=\frac{6}{16}$

Now that we have the same denominator, we can proceed with additiion.

$\frac{2}{16}+\frac{5}{16}+\frac{6}{16}=\text{?}$

In adding fractions , we just have to add the numerator and copy the common denominator.

$\frac{2}{16}+\frac{5}{16}+\frac{6}{16}=\frac{2+5+6_{}}{16}=\frac{13}{16}$

Answer:

$\frac{13}{16}$