Question

1/8+5/12+2/7+7/12+9/7+-5/6


simplify and write the answer in standard form.​

Answer 1

Answer:

155/84

Step-by-step explanation:

1/8 + 5/12 + 2/7 + 7/12 + 9/7 + -5/6

=LCM of 8,12,7,6 = 168

= Equate denominator with LCM:

1/8 = 1×21 / 8×21 = 21/168

5/12 = 5x14 / 12x14 = 70/168

2/7 = 2x24 / 7x24 = 48/168

7/12 = 7×14 / 12×14 = 98/168

9/7 = 9x24 / 7x24 = 213/168

-5/6 = -5x28 / 6x28 = -140/ 168

= Now, add or Subtract accordingly:

21+70+48+98+213+-140 / 168

= 91+ 146+ 213-140 /168 (-140 because +(-)= -)

= 237+213-140 / 168

= 450-140 /168

= 310/168

Now, Simplify:

=310/168

= 155/84

= No more simplification can be done

So, Answer is 155/84