Question

Simplify the expression by combining like terms. 8+2/3k-4/15k-1/4

Answer 1

The expression is given as

`\begin{gathered} 8\text{ +}(2)/(3)k\text{ - }(4)/(15)k\text{ - }(1)/(4) \\ \text{First, find the common denominator} \\ \text{The common denominator is 60} \\ 60(8)/(1)\text{ + 60 x }(2)/(3)k\text{ - 60}(4)/(15)k\text{ - 60}\frac{1}{4\text{ }}\text{ / 60} \\ \frac{60\text{ x 8 + 20 x 2k - 4 x 4k - 15 x 1}}{60} \\ \frac{480\text{ + 40k - 16k - 15}}{60} \\ \text{Collect the like terms} \\ \frac{480\text{ - 15 + 40k - 16k}}{60} \\ \frac{465\text{ - 24k}}{60} \end{gathered}`