Question

Simplify:-
(-6/15)+7/8+(-4/3)+(-7/5)+9/4

Answer 1

-6/15+7/8-4/3-7/5+9/4

=7/8+9/4+(-6/15-4/3-7/5)

=(7+18)/8+(-6-20-21)/15

=25/8+(-47)/15

=(375-376)/120

=-1/120

Answer 2

Concept:

Addition and subtraction of the fractions with unequal denominators. In such cases, the addition and subtraction is done by making the decimals same. This can can be done by taking the Least Common Multiple(LCM) of the denominators and multiplying the numerators by the LCM/denominator.

Given:

(-6/15)+7/8+(-4/3)+(-7/5)+9/4

Find:

Simplification of given equation.

Solution:

$-6/15+7/8-4/3-7/5+9/4\\\\=(7/8+9/4)+(-6/15-4/3-7/5)\\\\=(7+18)/8+(-6-20-21)/15\\\\=25/8+(-47)/15\\\\=(375-376)/120\\\\=-1/120$

Hence, the answer to this question is -1/120.

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