Question

find the sum of 4/9+9/4
​

Answer 1

The sum of $\frac{4}{9}+\frac{9}{4}$  is $2.694444444.$

Step-by-step explanation:

Given:

$\frac{4}{9}+\frac{9}{4}$

To find:

The sum of  $\frac{4}{9}+\frac{9}{4} .$

Solution:

$\frac{4}{9}+\frac{9}{4}$

Here, The least common multiple of $9$ and $4$ is $36.$

Now, convert $\frac{4}{9}$ and $\frac{9}{4}$ to fractions with a denominator $36.$

⇒$\frac{16}{36} +\frac{81}{36}$

Since $\frac{16}{81}$ and $\frac{81}{36}$ have the same denominator, add them by adding their numerators.

⇒$\frac{16+81}{36}$

⇒$\frac{97}{36}$

It can be simplified as,

⇒$\frac{97}{2^{2}. 3^{2} }$

⇒$2\frac{25}{36}=2.694444444$

So the final answer is $2.694444444.$