Question

Take 5 pieces of card paper. Write the following statements, one on each paper.

i. (a + b)/b = (c + d)/d

ii. a/c = b/d

iii. a/b = ac/bd

iv. c/d = (c - a)/(d - b)

v. a/b = rc/rd

a, b, c, d are positive numbers and a/b = c/d is given. Which of the above statements are true or false, write at the back of each card, if false explain why.

Answer 1

i. True 

ii. True

iii. False 

Here, numerator and denominator are multiplied by two different numbers a and b. 

iv. False 

Here, different numbers a and b are subtracted from numerator and denominator. 

v. True