# Question #f2f4c

##### 3 Answers
Jan 21, 2018

$\frac{74}{45}$

#### Explanation:

$\frac{1}{5}$ and $1 \frac{4}{9}$

Let's rewrite $1 \frac{4}{9}$ into an improper fraction

$\frac{1}{5} + \frac{13}{9}$

Now we need to have a common denominator

$\frac{9}{9} \times \frac{1}{5} + \frac{13}{9} \times \frac{5}{5}$

$\frac{9}{45} + \frac{65}{45}$

$\frac{74}{45}$

Jan 21, 2018

See below

#### Explanation:

Resiprocal means reverse.

Thus , reciprocal of 1/5 is 5.

Exchange the denominator with the numerator and exchange numerator with the denominator.

The same for $1 \frac{4}{9}$
But first make it a improper fraction from mixed fraction.

It becomes $\frac{13}{9}$.

Now reverse it for the reciprocal.

So, the reciprocal of $\frac{13}{9}$ is $\frac{9}{13}$

Jan 21, 2018

if your question is reciprocal of (1/5) , (1) , (4/9) then here is the answer

#### Explanation:

$\frac{5}{1} = 5$
$\frac{1}{1} = 1$ and
$\frac{9}{4}$
hope u find it helpful :)