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which is greater 14/17 or 19/35

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please show steps
asked Feb 11, 2014 in PRE-ALGEBRA by futai Scholar

1 Answer

0 votes

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.

answered Feb 12, 2014 by ashokavf Scholar

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

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