Multiplication of Fractions

Questions and Answers

$1/3$

$4/3$ (correct)

$3/4$

$1/4$

$14/15$ (correct)

$10/21$

$7/15$

$6/35$

Multiply the number by 1

Subtract the number from 1

Divide 1 by the number (correct)

Add 1 to the number

0.4 Signup and view all the answers

Multiply numerators together and denominators together Signup and view all the answers

Change them to improper fractions Signup and view all the answers

$5/17$ Signup and view all the answers

It remains unaltered Signup and view all the answers

4 Signup and view all the answers

The product of a number and its reciprocal is always 1 Signup and view all the answers

Study Notes

A fraction remains unchanged when both its numerator and denominator are multiplied by the same number.

To multiply fractions, multiply the numerators together and the denominators together.
Mixed numbers must be converted to improper fractions before multiplication.
Cancel common factors between the numerator and denominator prior to multiplication.

Two numbers are reciprocals if their product equals 1.
Example: 1/3 and 3 are reciprocals since ( \frac{1}{3} \times 3 = 1 ).
The reciprocal of a fraction is found by inverting it. For instance, the reciprocal of 3/4 is 4/3.
Any number can be expressed as a fraction, e.g., 3 can be written as 3/1.
The reciprocal of 3/1 is 1/3, while the reciprocal of 2.5/1 is 0.4 (or 1/2.5).

Dividing by a fraction entails multiplying by its reciprocal.
Example: For ( \frac{2}{5} \div \frac{3}{7} ), convert it to ( \frac{2}{5} \times \frac{7}{3} ) to get ( \frac{14}{15} ).

The reciprocals for specific numbers can be captured in a table format, showcasing the number alongside its reciprocal, e.g.:
- 1 has a reciprocal of 1,
- 2.5 has a reciprocal of 0.4,
- 4 has a reciprocal of 0.25, etc.