Answered

IDNLearn.com offers a unique blend of expert answers and community-driven knowledge. Our Q&A platform offers reliable and thorough answers to help you make informed decisions quickly and easily.

What is the value of [tex] \frac{1}{2} + ( - \frac{5}{6}) + \frac{1}{4} [/tex]

Sagot :

-1/12

1) Evaluating that expression we can write

[tex]\frac{1}{2}+(-\frac{5}{6})+\frac{1}{4}[/tex]

2) We need to find out a common denominator for those. Let's calculate the LCM by factoring by prime numbers:

[tex]\begin{gathered} \frac{(12\colon2\times1)-(12\colon6\times5)+(12\colon4\times1)}{12} \\ \frac{6-10+3}{12}=-\frac{1}{12} \end{gathered}[/tex]

Note that when reducing to a common denominator, we have divided 12 by each original denominator and multiplied by its original numerator. In other words:

[tex]\begin{gathered} \\ \frac{1}{2}+(-\frac{5}{6})+\frac{1}{4}=\frac{6-10+3}{12}=-\frac{1}{12} \end{gathered}[/tex]

3) Hence the answer is -1/12

View image ZaakirX259545
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.