Question

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

Answer 1

`(1)/(8)+(5)/(16)+(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.

`(1)/(8)=\frac{\text{?}}{16}`

We can do that by cross multiplication,

`\begin{gathered} (1\cdot16)/(8)=\text{?} \\ \questeq2 \\ \end{gathered}`

Thus,

`(1)/(8)=(2)/(16)`

We, will do the same for 3/8,

`\begin{gathered} (3)/(8)=(?)/(16) \\ (3\cdot16)/(8)=(48)/(8)=6 \\ \end{gathered}`

Thus,

`(3)/(8)=(6)/(16)`

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

`(2)/(16)+(5)/(16)+(6)/(16)=\text{?}`

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

`(2)/(16)+(5)/(16)+(6)/(16)=\frac{2+5+6_{}}{16}=(13)/(16)`

Answer:

`(13)/(16)`