which is greater 14/17 or 19/35

Question

please show steps

Answer 1

Given numbers are 14/17 and 19/35

Convert the fractions both have equal denominator.

Least common multiple of 17,35 is 595.

First fraction 14/17

Multiple the numarator and denominator by 35.

 it would be 490/595

Second fraction 19/35.

Multiple the numarator and denominator by 17.

 it would be 323/595.

490/595 is greater than 323/595.

So 14/17 is greater.

Comments

Write the expression for the current situation

(14/17) ? (19/35)

Write the equation with common denominator

(14*35/17*35) ? (19*17/35*17)

(490/595) ? (323/595)

Since denominators are same, compare the numerator and fond the greatest value

(490/595) > (323/595)

==> (14/17) > (19/35)

So 14/17 is greater than 19/35