Question

Sum of rational number 4 by 7 and its reciprocal is

Answer 1

Answer:

65/28

Step-by-step explanation:

= 4/7 +7/4

= 4×4 +7×7/28

= 16+ 49/28

= 65/28

Hope it helps.

Answer 2

Sum of rational number 4 by 7 and its reciprocal is $\bold{\frac{65}{28}}$

Solution:

Given, the rational number is $\frac{4}{7}$

The reciprocal of the number is $\frac{7}{4}$

The LCM of 4 and 7:

Factors of 4 = $1\times2\times2$

Factors of 7 = $1\times7$

The LCM of 4 and 7 is 28

So the sum is $\frac{4}{7}+\frac{7}{4}$ = $\frac{4\times4+7\times7}{28}$ = $\frac{16+49}{28}$=$\frac{65}{28}$