What is 16/3-(4k+56)/(3k+15) ?

The solution to 16/3-(4k+56)/(3k+15) is (4(k+2))/(k+5)

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simplify 16/3-(4k+56)/(3k+15)

simplify

\frac{16}{3} - \frac{4 k + 56}{3 k + 15}

\frac{4 ( k + 2 )}{k + 5}

Solution steps

\frac{16}{3} - \frac{4 k + 56}{3 k + 15}

Least Common Multiplier of

3, 3 k + 15 : 3 (k + 5)

Adjust Fractions based on the LCM

= \frac{16 ( k + 5 )}{3 ( k + 5 )} - \frac{4 k + 56}{3 ( k + 5 )}

Apply the fraction rule:

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

= \frac{16 ( k + 5 ) - ( 4 k + 56 )}{3 ( k + 5 )}

Simplify

16 (k + 5) - (4 k + 56) : 12 k + 24

= \frac{12 k + 24}{3 ( k + 5 )}

Cancel

\frac{12 k + 24}{3 ( k + 5 )} : \frac{4 ( k + 2 )}{k + 5}

= \frac{4 ( k + 2 )}{k + 5}

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What is 16/3-(4k+56)/(3k+15) ?
The solution to 16/3-(4k+56)/(3k+15) is (4(k+2))/(k+5)