Question

determine if the following pairs are equal by writing each in their simplest form. (I)3/8and375/1000 (ii)18/54and23/69 (iii)6/10and600/1000 (iv)17/27and25/45

Answer 1

Given:

Pairs:

(i)3/8 and 375/1000

(ii)18/54 and 23/69

(iii)6/10 and 600/1000

(iv)17/27 and 25/45

To find:

Whether the pairs are equal or not.

Solution:

• 3/8 cannot be reduced further but 375/1000 when divided by 5 multiple times in the numerator and denominator gives 5/8.

• 18/54 can be reduced to 1/3 and 23/69 can also be reduced to 1/3.
• 6/10 can be reduced to 3/5 and 600/1000 an also be reduced to 3/5.
• 17/27 cannot be further reduced but 25/45 can be reduced to 5/9.

Therefore only pairs of options 1, 2 and 3 are equal when written in their simplest forms.