Question

what is reciprocal of the fraction​

Answer 1

Step-by-step explanation:

A reciprocal is the inverse or opposite form of a fraction. You find the reciprocal of any number by flipping the numerator and the denominator. ... Flip the numerator and the denominator.

Answer 2

$\bf Reciprocal \: of \: Fractions$

Two non-zero fractions whose product with each other gives 1 are called reciprocals of each other.

For example:

$\mathfrak{ \dfrac{3}{2} \times \dfrac{2}{3} = 1}$

So, 2/3 is reciprocal of 3/2 and vice-versa.

Reciprocal can be obtained by interchanging numerator to denominator and denominator to numerator.

For example :

For fraction 10/3, Reciprocal = 3/10

Reciprocal of proper fraction is improper and vice-versa.

Examples:-

Product of two fraction is 3/4 if one of them the fraction is $7\frac{1}{2}$ then find the other.

Solution :-

Product of two fractions = $\sf\dfrac{3}{4}$

One of the fraction = $7\dfrac{1}{2}=\dfrac{15}{2}$

Other fraction

$\implies \sf \: \dfrac{3}{4} \div \dfrac{15}{2} = \dfrac{3}{4} \times \dfrac{2}{15}$

$\implies \sf \dfrac{1}{10}$

Hence, other fraction is $\sf\dfrac{1}{10}$

Additional informatioN

Fractions

The numbers of the form a/b, where b ≠ 0 and a,b are whole numbers is called a fraction. For fraction a/b, a is called numerator and b is called denominator of the fraction.

Improper fraction : If the numerator of a fraction is greater than the denominator then fraction is called improper fraction.

Proper fraction : If the numerator of a fraction is smaller than the denominator then fraction is called proper fraction.

Like fraction : Fractions with same denominators are called like fractions

Unlike fraction : Fractions with different denominators are called like fractions.

Unit Fraction : Fraction whose numerator is one is called unit fraction.

Mixed Fraction : Fraction having whole number along with proper fraction is known as mixed fraction.

Equivalent Fractions : A given fraction and fraction obtained by multiplying or dividing its numerator and denominator by the same non zero integer are called equivalent fraction.