Question

Add(-5/9)+(-4/3) + (7/12)​

Answer 1

Answer:

(-5/9)+(-4/3)+(7/12)

-5/9-4/3+7/12

take LCM of 9,3,12 is 36

-20-48+21/36

-68+21/36

-47/36

That is answer

Like ,,,

Answer 2

(-5/9)+(-4/3) + (7/12)​ = -47/36

Given:

(-5/9)+(-4/3) + (7/12)​

To find:

Add (-5/9)+(-4/3) + (7/12)​

Solution:

We have to do Fraction addition to get the answer

The given fractions are unlike fractions. Mathematical operations can't be carried out on them we have to convert them to like fractions. Like fractions are those which have the same denominator

To get the same denominator Take the LCM of the denominators

Given,

$(\frac{-5}{9}) + (\frac{-4}{3}) + (\frac{7}{12})$

LCM of denominators ⇒ 9,3,12 = 36

⇒ $\frac{-5}{9} = \frac{-5 * 4}{9 *4} = \frac{-20}{36}$  ----------> (1)

⇒ $\frac{-4}{3} = \frac{-4 *12}{3 *12} = \frac{-48}{36}$  ----------> (2)

⇒ $\frac{7}{12} = \frac{7*3}{12 *3} = \frac{21}{36}$  ----------> (3)

From (1), (2), and (3) we can see that the denominators are the same hence addition can be carried out

$\frac{-20}{36} +( \frac{-48}{36}) + \frac{21}{36}$

= $\frac{-20 +(-48)+21}{36}$

= $\frac{-68 + 21}{36}$

The numbers in the numerator have different signs hence they have to be subtracted and since 68 > 21 the answer will be negative

= $\frac{-47}{36}$

Hence (-5/9)+(-4/3) + (7/12)​ = -47/36

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