Question

solve the following
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Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Find the sum :

a) - 2 1/3 + 4 3/5

= - 7 / 3 + 23 / 5

= ( -7 × 5 + 23 × 3 ) / 15 ( since, the lcm of 3 and 5 is 15.)

= ( - 35 + 69 ) / 15

= 34 / 15 is the answer.

b) ( - 8 / 19 ) + ( - 2 / 57 )

= - 8 / 19 - 2 / 57 (since, + × - = - )

= ( - 8 × 3 - 2 × 1 ) / 57 (since, the lcm of 19 and 57 is 57.)

= ( - 24 - 2 ) / 57

= - 26 / 57 is the answer.

Find :

a) - 6 / 13 - ( - 7 / 15 )

= - 6 / 13 + 7 / 15 (since, - × - = + )

= ( - 6 × 15 + 7 × 13 ) / 195 ( since, tthe lam of 13 and 15 is 195. )

= ( - 90 + 91 ) / 195

= 1 / 195 is the answer.

b) - 2 1/9 - 6

= - 19/9 - 6

= ( - 19 × 1 - 6 × 9 ) / 9 (since, the lcm is 9)

= ( - 19 - 54 ) / 9

= - 73 / 9 is the answer.