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
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