Question

find the reciprocal of the sum of 1 whole 7/9 and 2 while, 3/5..​

Answer 1

$\sf\purple{Question:-}$

• Find the reciprocal of 1 whole 7/9 and 2 whole 3/5.

$\sf\purple{Answer:-}$

$1\ \frac{7}{9} = \frac{16}{9}$

$2 \frac{3}{5} = \frac{13}{5}$

$lcm = 45$

$\frac{80 + 117}{45}$

$\frac{197}{45}$

$reciprocal = \frac{45}{197}$

$\sf\purple{Final \ answer:-}$

$hence \: the \: reciprocal \: is \: \frac{45}{197.}$

_________________________

Answer 2

Question-

Find the reciprocal of the sum of $\sf { 1 \frac{7}{9}}$ and $\sf { 2 \frac{3}{5}}$ .

Solution-

Changing mixed fraction into proper fraction-

• $\sf\red { 1 \frac{7}{9} = \frac{16}{9} }$

• $\sf\red { 2 \frac{3}{5} = \frac{13}{5}}$

Now, finding their sum-

$☞ \sf { \frac{16}{9} + \frac{13}{5} }$

$☞ \sf { \frac{80 + 117 }{45} }$

[ Taken LCM and performed addition ]

$☞ \sf\green { \frac{197}{45}}$

Reciprocation-

$☞ \sf\green { \frac{197}{45}= \frac{45}{197} }$

Required Answer-

• Their sum = $\sf { \frac{197}{45}}$

• Reciprocal of the sum= $\sf { \frac{45}{197}}$