Answer:
The reciprocal is [tex] \frac{7}{24} [/tex]
Explanation:
Before we begin remember that:
[tex] a\frac{b}{c} = \frac{(a*c) + b}{b} [/tex]
Now, for the given:
We have the number [tex] 3\frac{3}{7} [/tex]
1- Changing it into a fraction:
Using the above rule, we can deduce that:
[tex] 3\frac{3}{7} [/tex] = [tex] \frac{(3*7) + 3}{7} [/tex] = [tex] \frac{24}{7} [/tex]
2- Getting the reciprocal:
To get the reciprocal, we simply flip the fraction
This means that the reciprocal of [tex] \frac{24}{7} [/tex] is [tex] \frac{7}{24} [/tex]
Hope this helps :)
