We understand that (frac14) the 4 way (frac14) × 4,let united state use the dominance of repeated addition to uncover (frac14) × 4.

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Wecan say that (frac14) is the reciprocal of 4 or 4 is the mutual ormultiplicative train station of (frac14).


(frac37) × (frac73);

(frac58) × (frac85);

(frac29) × (frac92) 


(frac37) × (frac73) = (frac2121) = 1;  

(frac58) × (frac85) = (frac4040) = 1;   

(frac29) × (frac92) = (frac1818) = 1;


Therefore, if the product of 2 fractions is 1 we speak to eachfraction as the reciprocal of the other. We can acquire reciprocal that a fraction byinterchanging the numerator and also the denominator. The mutual of 1 is 1 andthere is no mutual for 0.

Solved examples on Reciprocal of a Fraction:

1. uncover the mutual of (frac1115)       

Solution:

By interchanging the numerator and the denominator we get (frac1511).

(frac1115) × (frac1511) = (frac165165) = 1;

Hence, (frac1511) is the mutual of (frac1115).

2. uncover the reciprocal of (frac1571)       

Solution:

By interchanging the numerator and the denominator we get (frac5711).

(frac1571) × (frac5711) = (frac571571) = 1;

Hence, (frac5711) i.e., 571 is the reciprocal of (frac1571).

Reciprocal that a mixed Fraction:

To find the reciprocal of a blended fraction first we require to transform the combined fractional number to improper fraction and then interchange the numerator and the denominator that the not correct fraction.

Solved examples on Reciprocal of a blended fraction:

1. discover the reciprocal of 2(frac59)       

Solution:

2(frac59) is a blended fraction.

Let"s transform the mixed fraction to improper fraction.

2(frac59)

= (frac9 × 2 + 59)

= (frac239)

By interchanging the numerator and also the denominator we gain (frac923).

(frac239) × (frac923) = (frac207207) = 1;

Hence, (frac923) is the mutual of (frac239) i.e., 2(frac59).


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2. Find the reciprocal of 5(frac1321)       

Solution:

5(frac1321) is a mixed fraction.

Let"s transform the mixed portion to improper fraction.

5(frac1321)  

= (frac21 × 5 + 1321)

= (frac11821)

By interchanging the numerator and also the denominator we obtain (frac21118).

(frac11821) × (frac21118) = (frac24782478) = 1;

Hence, (frac21118) is the mutual of (frac11821) i.e., 5(frac1321).

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