Question

Express 5.33+4.12 as a fraction in simplest form.

Answer 1

Answer:

Let x=15.7

12

i.e. x=15.7121212...(1)

Multiplying (1) by 10 and 100 successively, we get

10x=157.121212...(2)

and 1000x=15712.1212...(3)

Subtracting (2) from (3), we get

1000x−10x=(15712.1212...)–(157.1212...)

⇒990x=15555

⇒x=

990

15555

⇒x=

66

1037

Hence, 15.7

12

=

66

1037