Question

What is the sum of the two largest numbers in the list

$\frac 13,~\frac 27,~\frac 3{10},~\frac 4{13},~\frac 5{17}~?$Express your answer in simplest form.

Answer 1

Answer:

$\frac{25}{39}$

Step-by-step explanation:

The given numbers are

$\frac 13,~\frac 27,~\frac 3{10},~\frac 4{13},~\frac 5{17}$

We need to find the sum of the two largest numbers in the list.

The values of each number are

$\frac{1}{3}=0.33..$

$\frac{2}{7}\approx 0.286$

$\frac{3}{10}=0.3$

$\frac{4}{13}\approx 0.308$

$\frac{5}{17}\approx 0.294$

Using these we can say that

$\frac{2}{7}<\frac{5}{17}< \frac{3}{10}< \frac{4}{13}< \frac{1}{3}$

It means two largest numbers in the list are $\frac{4}{13}\text{ and } \frac{1}{3}$.

The sum of these two number is

$Sum=\frac{4}{13}+\frac{1}{3}$

$Sum=\frac{4\cdot 3+1\cdot 13}{39}$

$Sum=\frac{25}{39}$

Therefore, the sum of the two largest numbers in the list is $\frac{25}{39}$.