What is the reciprocal of 5/6 ? How can you be sure it is the reciprocal?

The reciprocal of a number is its multiplicative inverse. That is, the product of the number and its reciprocal is 1, the multiplicative identity element.

For a fraction, the reciprocal is the fraction with numerator and denominator interchanged. That is, the reciprocal of 5/6 is 6/5.

You can check that this is the multiplicative inverse by multiplying it by 5/6:

5/6 × 6/5 = (5×6)/(6×5) = 30/30 = 1 . . . . the multiplicative identity element

Аноним Аноним · Answer 2 · 2022-04-07T09:30:49+02:00

hello!

In order to find the reciprocal of a number, we should just flop it over.

If we are asked to find the reciprocal of a fraction, then the numerator & denominator simply switch places.

Please consult the following formula for more details:-

[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a} }}[/tex]

[tex]\sf{The~reciprocal~of~\displaystyle\frac{a}{b} ~is~\frac{b}{a}}[/tex]

According to the formula, the reciprocal of [tex]\displaystyle\frac{5}{6}[/tex] is:-

[tex]\bigstar{\boxed{\pmb{\frac{6}{5}}}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)