Math, asked by nehalroopesh2020, 8 months ago

-2/3 * 3/5 + 5/2 - 3/5 * 1/6 rational numbers using properties

Answers

Answered by Natsukαshii
4

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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

==> - 19/10eq 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

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