The concepts for this exercise are summarized below. For a complete discussion,
read the text.
EXAMPLES:
Question:
Combine into a single fraction:
[beautiful math coming... please be patient]
$\displaystyle\,\frac{2x}{5} + \frac{1}{3}$
Solution:
Notice that the
least common denominator is $\,15\,$.
[beautiful math coming... please be patient]
$\displaystyle
\,\frac{2x}{5} + \frac{1}{3}
\,\,=\,\, \frac{2x}{5}\cdot\frac{3}{3} + \frac{1}{3}\cdot\frac{5}{5}
\,\,=\,\, \frac{6x}{15} + \frac{5}{15}
\,\,=\,\, \frac{6x+5}{15}
$
Question:
Combine into a single fraction:
[beautiful math coming... please be patient]
$\displaystyle\,\frac{2}{9t} - \frac{1}{6}$
Solution:
Notice that the least common denominator is $\,18t\,$.
[beautiful math coming... please be patient]
$\displaystyle
\,\frac{2}{9t} - \frac{1}{6}
\,\,=\,\, \frac{2}{9t}\cdot\frac{2}{2} - \frac{1}{6}\cdot\frac{3t}{3t}
\,\,=\,\, \frac{4}{18t} - \frac{3t}{18t}
\,\,=\,\, \frac{4-3t}{18t}
$
On this exercise, you will not key in your answer.
However, you can check to see if your answer is correct.