If the product of two numbers is 1, then each number is known as multiplicative inverse or the reciprocal of one another.

**The following are the rules of multiplicative inverse of a fractional number:**

(a) To find the multiplicative inverse of a proper or improper fraction, interchange the numerator and denominator.

(b) To find the reciprocal of a mixed fraction or whole number, first change it into an improper fraction, then interchange the numerator and denominator.

Multiplicative inverse is also known as reciprocal.

**The important facts of multiplicative inverse of a fractional number are:**

(i) The reciprocal of a proper fraction is an improper fraction.

**For Example:**

1. Reciprocal of \(\frac{5}{18}\) is \(\frac{18}{5}\).

2. Reciprocal of \(\frac{3}{13}\) is \(\frac{13}{3}\).

3. Reciprocal of \(\frac{19}{26}\) is \(\frac{26}{19}\).

4. Reciprocal of \(\frac{37}{48}\) is \(\frac{48}{37}\).

5. Reciprocal of \(\frac{9}{11}\) is \(\frac{11}{9}\).

(ii) The reciprocal of an improper fraction is a proper fraction.

**For Example:**

1. Reciprocal of \(\frac{15}{4}\) is \(\frac{4}{15}\).

2. Reciprocal of \(\frac{23}{3}\) is \(\frac{3}{23}\).

3. Reciprocal of \(\frac{49}{6}\) is \(\frac{6}{49}\).

4. Reciprocal of \(\frac{37}{18}\) is \(\frac{18}{37}\).

5. Reciprocal of \(\frac{27}{11}\) is \(\frac{11}{27}\).

(iii) The reciprocal of a whole number (except 0) will always have a numerator 1.

(i.e., it will be a unit fraction)

**For Example:**

1. Reciprocal of 90 is \(\frac{1}{90}\).

2. Reciprocal of 25 is \(\frac{1}{25}\).

3. Reciprocal of 42 is \(\frac{1}{42}\).

4. Reciprocal of 17 is \(\frac{1}{17}\).

5. Reciprocal of 75 is \(\frac{1}{75}\).

(iv) The multiplicative inverse of 1 is 1.

(v) The multiplicative inverse of 0 cannot be found.

**● ****Multiplication is Repeated Addition.**

● Multiplication of Fractional Number by a Whole Number.

● Multiplication of a Fraction by Fraction.

● Properties of Multiplication of Fractional Numbers.

● Worksheet on Multiplication on Fraction.

● Division of a Fraction by a Whole Number.

● Division of a Fractional Number.

● Division of a Whole Number by a Fraction.

● Properties of Fractional Division.

● Worksheet on Division of Fractions.

● Simplification of Fractions.

● Worksheet on Simplification of Fractions.

● Worksheet on Word Problems on Fractions.

**5th Grade Numbers Page ****5th Grade Math Problems ****From Multiplicative Inverse to HOME PAGE**

**Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.**

## New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.