Fraction As An Operator

 

About

A fraction acts as an operator ‘of ’.

For example:

1/ 2 of 2 is also (1/2 (2) = 1)

 

(a) The product of two proper fractions is less than each of the fractions that are multiplied.

(b) The product of a proper and an improper fraction is less than the improper fraction and greater than the proper fraction.

 

Demonstration:

1) Three quarters of the passengers at a bus depot are waiting for a bus to Delhi. If there are 120 passengers at the bus depot, how many are waiting for the bus to Trichy?

Answer: 90
120 x 3/4
= 120 x 3 ÷ 4
= 360 ÷ 4
= 90

2) In a spice factory, 3/8 of the boxes of spices were found to be damaged. If there were originally 400 boxes of spices, how many were damaged?

Answer: 150
3/8 x 400
= 3 x 50 (Divide 400 ÷ 8 = 50)
= 150