# Mathematics - Class 5 / Grade 5

- Division Of Fractional Numbers
### Division Of Fractional Numbers

Math - Class 5 – Divide fractions/ Divide fractions and mixed numbers/ Divide two fractions/ Dividing Fractions and Mixed Numbers – Key Points/Notes/Worksheets/Explanation/Lesson/Practice Questions Tags: Division of a fraction by a whole number free downloadable worksheet PDF for Grade 5, How to divide a fraction? Free Worksheet PDF on Division of fraction for fifth class, Lesson on fractional division for grade V, How To Divide a Fraction by a Whole Number? Properties Of Division For Grade V, Division of a fractional number Exercises for Class 5, Division of fractional number is divided by 1 Practice Page for class V, Division of 0 by a non-zero fractional number for fifth class Examples, Steps of Division of Fractional Numbers, Rules of Division of Fractional Numbers. How to divide fractions with mixed numbers? How to divide a fraction by a fraction? Division of whole number by a fractional number. Division of a fraction by a whole number. Division of a mixed fraction by a whole number. Division of a mixed fraction number by mixed fraction number.Division of Fractional Numbers

Steps of Division of Fractional Numbers

__Step1:__If the fraction is a mixed fraction, convert it to improper fraction.__Step2:__Write the first number as it is.__Step3:__Replace “÷” by “x” sign.__Step4:__Write the reciprocal of the other number.__Step5:__Then simplify.**Note:**Whole number means "number/1", so the reciprocal is "turning the number upside down".Division of a fraction by a whole number

**Rule:**Fraction ÷ Whole number = Fraction x Reciprocal of whole number.Example 1:

Example 2:

First change mixed fraction into improper fraction.

(Simplify the fraction criss-cross and cross it out with a slash and write the new number next to it)

Division of whole number by a fractional number

**Rule:**Whole Number ÷ Fractional Number = Whole Number x Reciprocal of the Fractional Number.Example 1:

Example 2:

Division of a fractional number

**Rule:**First Fractional Number ÷ Second Fractional Number = First Fractional Number x Reciprocal of Second Fractional Number.Example 1:

Example 2:

Properties of Division

1. When a fractional number is divided by 1, the quotient is the fraction itself.

Example:

2. When 0 is divided by a non-zero fractional number, the quotient is 0.

Example:

3. When any non-zero fractional number is divided by itself, the quotient is 1.

Example:

4. The reciprocal of zero does not exist. So we cannot divide any fractional number by zero.

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