Using the properties of multiplication we will solve the different questions given in the worksheet on properties of multiplication of fractional numbers.

**The properties of multiplication of fractional numbers are:**

(i) changing the order of fractional numbers does not change the product.

(ii) fraction multiplied by 1 is the fraction itself

(iii) fraction multiplied by 0 is zero

**I. Fill in the blanks:**

(i) \(\frac{1}{7}\) × ____ = 1

(ii) \(\frac{1}{13}\) × 13 = ____

(iii) \(\frac{3}{5}\) × ____ = 1

(iv) ____ × \(\frac{5}{11}\) = 1

(v) \(\frac{7}{19}\) × ____ = 1

**II. Multiply the
following fractions:**

(i) \(\frac{5}{9}\) × 0

(ii) \(\frac{21}{4}\) × 0

(iii) \(\frac{7}{9}\) × 1

(iv) 5 × 2\(\frac{1}{4}\)

(v) \(\frac{7}{8}\) × 4\(\frac{1}{2}\)

(vi) \(\frac{7}{5}\) × 6\(\frac{2}{5}\)

**III. Using the properties
of multiplication, fill in the blanks:**

(i) \(\frac{5}{2}\) × \(\frac{1}{3}\) = \(\frac{1}{3}\) × ____

(ii) \(\frac{15}{11}\) × \(\frac{18}{3}\) = \(\frac{18}{3}\) × ____

(iii) 11\(\frac{1}{9}\) × 14\(\frac{2}{5}\) = 14\(\frac{2}{5}\) × ____

(iv) 24\(\frac{1}{6}\) × 6\(\frac{7}{34}\) = 6\(\frac{7}{34}\) × ____

(v) \(\frac{4}{7}\) × \(\frac{13}{29}\) × \(\frac{15}{8}\) = \(\frac{15}{8}\) × \(\frac{13}{29}\) × ____

(vi) \(\frac{11}{5}\) × \(\frac{1}{17}\) × \(\frac{3}{4}\) = \(\frac{3}{4}\) × \(\frac{11}{5}\) × ____

Answers for the worksheet on properties of multiplication of fractional numbers are given below.

**Answers:**

**I. **(i) 7

(ii) 1

(iii) \(\frac{5}{3}\)

(iv) \(\frac{11}{5}\)

(v) \(\frac{19}{7}\)

**II. **(i) 0

(ii) 0

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

(iv) \(\frac{45}{4}\)

(v) \(\frac{63}{16}\)

(vi) 8\(\frac{24}{25}\)

**III. **(i) \(\frac{5}{2}\)

(ii) \(\frac{15}{11}\)

(iii) 11\(\frac{1}{9}\)

(iv) 24\(\frac{1}{6}\)

(v) \(\frac{4}{7}\)

(vi) \(\frac{1}{17}\)

Worksheet on Multiplication on Fraction.

Worksheet on Multiplication of Fractional Number by a Whole Number

Worksheet on Multiplication of a Fraction by Fraction

Worksheet on Multiplication of a Whole Number by a Fraction

Worksheet on Properties of Multiplication of Fractional NumbersWorksheet on Division of Fractions.

Worksheet on Simplification of Fractions.

Worksheet on Word Problems on Fractions.

**Math Homework Sheets**

**5th Grade Math Problems **

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