-2/3 * 3/5 + 5/2 - 3/5 * 1/6 rational numbers using properties
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ANSWER
-2 × 3 +. 5 - 3 ×. 1
3 5 2 5 6
First ,
==> -2/3 × 3/5
lcm of 3 and 5 is 15
==> -2/3 = -2/3 × 5/5. = -10/15
==> 3/5 = 3/5 × 3/3 = 9/15
==> -10/15 × 9/15
==> - 1/15..........................eq 1
second,
==> 5/2 - 3/5
lcm of 2 and 5 is 10
==> 5/2 = 5/2 × 5/5 = 25/10
==> -3/5 = -3/5 × 2/2 = -6/10
==> 25/10 - 6/10
==> - 19/10……………………eq 2
now add eq 1 and eq 2
==> -1/15 + -19/10
==> +20/25
20/25 × 1/6
LCM of 25 and 6 is 150
==> 20/25 = 20/25 × 6/6 = 120/150
==> 1/6 = 1/6 × 25/25 = 25/150
therefore,
==> 120/150 × 25/150 ( do cross multiplication )
==> 3750/18000 ( divide it )
==> your answer is
====== 15/72