Question

simplify 2/3+-4/5-1/3-2/5
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Answer 1

Given:

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

To find:

Simplify

Solution:

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

LCM of denominators is 5 * 3 = 15

First,

2/3

Multiplying numerator and denominator with 5

2*5 / 3*5

10/15

Second,

-4/5

Multiplying numerator and denominator with 3

-4*3 / 5*3

-12/15

Third,

1/3

Multiplying numerator and denominator with 5

1*5 / 3*5

5 / 15

Lastly,

2/5

Multiplying numerator and denominator with 3

2*3 / 5*3

= 6/15

Now,

10/15 + -12/15 - 5/15 - 6/15

10 - 12 - 5 - 6 / 15

-13/15

Conclusion:

2/3 + -4/5 - 1/3 - 2/5 = -13/15

Extra Information:

LCM of 2 Prime numbers is always their product.

In the above case, LCM of 5 and 3 = 15 which is their product.

Answer 2

Answer:

$\frac{ - 13}{15}$

Step-by-step explanation:

$\frac{2}{3} - \frac{4}{5} - \frac{1}{3} - \frac{2}{5} \\ \\ = \frac{2}{3} - \frac{1}{3} - \frac{ 4}{5} - \frac{2}{5} \\ \\ = \frac{1}{3} - \frac{6}{5} \\ \\ = \frac{5 - 18}{15} = \frac{ - 13}{15}$

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