Question

the sum of rational 3/7 and its reciprocal is​

Answer 1

Step-by-step explanation:

$\frac{3}{7} + \frac{ 7}{3}$

$\frac{9 + 49}{21}$

$\frac{58}{21}$

Answer 2

$\sf➪Given \: the \: rational \: number \: is \frac{4}{7}$

$\sf➪The \: reciprocal \: of \: number \: is \: \frac{7}{4}$

$\sf ➪The \: LCM \: of \: 4 \: and \: 7$

$\sf Factors \: of \: 4 \\ \: \: \: \: \: = 1 \times 2 \times 2$

$\sf Factors \: of \: 7 \\ \: \: \: \: = 1 \times 7$

$\sf \red { The \: LCM \: of 4 \: and \: 7 \: is \: 28 }$

$\sf \bold⇒So \: the \: sum \: is \frac{4}{7} + \frac{7}{4} \\ \\ = \frac{4 \times 4 + 7 \times 7}{28} \\ \\ = \frac{16 + 49}{28} \\ \\ \\ = \frac{65}{28}$