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What is the reciprocal of 3 3/7

Sagot :

You can make 3 and 3/7 into a improper fraction as 24/7 by multiplying 7 by 3 which is 21 and then adding that to 3 which gives you to answer 24/7. To find the reciprocal you simply flip the fraction which gives you 7/24 
Louli

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 :)

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