Question

Which statement is true? A.27/19<11/30 B.17/31>19/14 C.16/26>30/31 D.35/30<22/12

Answer 1

A. $\frac{27}{19}$

To find greater than or smaller than relation, we multiply the terms like (numerator of L.H.S with denominator of R.H.S and put the value on the left side. Then multiply the denominator of L.H.S with numerator of R.H.S and put the value on right side. Now compare the digits.)

So, solving A,  we get 810<209  ... This is false

B. $\frac{17}{31}>\frac{19}{14}$

= 238>589   ..... This is false

C. $\frac{16}{26}>\frac{30}{31}$

= 496>780    .... This is false

D. $\frac{35}{30}$

= 420<660   ..... This is true

Hence, option D is true.