The properties of multiplication of fractional numbers are discussed here.

**Property 1:** If two fractional numbers are multiplied in either order, the product remains the same.**For Example:**

(i) \(\frac{2}{3}\) × \(\frac{7}{5}\)

= \(\frac{2 × 7}{3 × 5}\)

= \(\frac{14}{15}\)

And now if you interchange the place of the fractional numbers the product does not change.

\(\frac{7}{5}\) × \(\frac{2}{3}\)

= \(\frac{7 × 2}{5 × 3}\)

= \(\frac{14}{15}\)

We observe that the product in both the cases are same.

So, \(\frac{2}{3}\) × \(\frac{7}{5}\) = \(\frac{7}{5}\) × \(\frac{2}{3}\).**Note:** From the above example we understand that, changing the order of fractional numbers does not change the product.

(ii) (4\(\frac{2}{3}\) × 5\(\frac{1}{3}\)) × \(\frac{1}{5}\) = 4\(\frac{2}{3}\) (5\(\frac{1}{3}\) × \(\frac{1}{5}\))

**Property 2: **If a fractional number is multiplied by one, the product is the fractional number itself. **For Example:**

(i) \(\frac{7}{9}\) × 1

= \(\frac{7}{9}\) × \(\frac{1}{1}\)

= \(\frac{7 × 1}{9 × 1}\)

= \(\frac{7}{9}\)

So, we observe that a fraction multiplied by 1 is the fraction itself.

(ii) \(\frac{5}{8}\) × 1

= \(\frac{5}{8}\) × \(\frac{1}{1}\)

= \(\frac{5 × 1}{(8 × 1}\)

= \(\frac{5}{8}\)

(iii) \(\frac{15}{19}\) × 1

= \(\frac{15}{19}\) × \(\frac{1}{1}\)

= \(\frac{15 × 1}{(19 × 1}\)

= \(\frac{15}{19}\)

**Property 3:** If a fractional number is multiplied by zero, the product is zero.

**For Example:**

(i) \(\frac{3}{11}\) × 0

= \(\frac{3 × 0}{11}\)

= 0

(ii) \(\frac{7}{15}\) × 0

= \(\frac{7 × 0}{15}\)

= 0

**● ****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 Properties of Multiplication of Fractional Numbers to HOME PAGE**

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