What is (3k)/(4k)+(k-3)/(5k-4) ?

The solution to (3k)/(4k)+(k-3)/(5k-4) is (19k-24)/(4(5k-4))

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simplify (3k)/(4k)+(k-3)/(5k-4)

simplify

\frac{3 k}{4 k} + \frac{k - 3}{5 k - 4}

\frac{19 k - 24}{4 ( 5 k - 4 )}

Solution steps

\frac{3 k}{4 k} + \frac{k - 3}{5 k - 4}

Cancel the common factor:

k

= \frac{3}{4} + \frac{k - 3}{5 k - 4}

Simplify

\frac{3}{4} + \frac{k - 3}{5 k - 4} : \frac{3 ( 5 k - 4 ) + ( k - 3 ) \cdot 4}{4 ( 5 k - 4 )}

= \frac{3 ( 5 k - 4 ) + ( k - 3 ) \cdot 4}{4 ( 5 k - 4 )}

Simplify

3 (5 k - 4) + (k - 3) \cdot 4 : 19 k - 24

= \frac{19 k - 24}{4 ( 5 k - 4 )}

a \cdot 10 0^{3} = 20000

32 x^{2} - 98 y^{2}

2 x^{2} - 4 x = 8

(i - 1)^{2} + \frac{2}{( i - 1 ) ^{2}}

\frac{5}{4} \cdot \frac{1}{2}

What is (3k)/(4k)+(k-3)/(5k-4) ?
The solution to (3k)/(4k)+(k-3)/(5k-4) is (19k-24)/(4(5k-4))