What is (k-6)/5+(4-k)/6 ?

The solution to (k-6)/5+(4-k)/6 is (k-16)/(30)

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simplify (k-6)/5+(4-k)/6

simplify

\frac{k - 6}{5} + \frac{4 - k}{6}

\frac{k - 16}{30}

Solution steps

\frac{k - 6}{5} + \frac{4 - k}{6}

Least Common Multiplier of

5, 6 : 30

Adjust Fractions based on the LCM

= \frac{( k - 6 ) \cdot 6}{30} + \frac{( 4 - k ) \cdot 5}{30}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{( k - 6 ) \cdot 6 + ( 4 - k ) \cdot 5}{30}

Simplify

(k - 6) \cdot 6 + (4 - k) \cdot 5 : k - 16

= \frac{k - 16}{30}

\frac{21}{49}

(- x - 1) (x^{2} + x + 5)

(- 1 + i)^{3}

\frac{x - 2 x - 5}{4 3 x + 1}

(x + 1)^{2} - 1