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Practice Problems
\(\textbf{1)}\) \(\hspace{1ex}\displaystyle\frac{1}{3}+\displaystyle\frac{1}{2} \)
The answer is \( \displaystyle\frac{5}{6} \)
\(\,\,\,\,\,\,\displaystyle\frac{1}{3}+\displaystyle\frac{1}{2}\)
\(\,\,\,\,\,\,\displaystyle\frac{2\times1}{2\times3}+\displaystyle\frac{1\times3}{2\times3}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{6}+\displaystyle\frac{3}{6}\)
\(\,\,\,\,\,\,\displaystyle\frac{2+3}{6}\)
\(\,\,\,\,\,\,\displaystyle\frac{5}{6} \)
\(\,\,\,\,\,\,\displaystyle\frac{1}{3}+\displaystyle\frac{1}{2}\)
\(\,\,\,\,\,\,\displaystyle\frac{2\times1}{2\times3}+\displaystyle\frac{1\times3}{2\times3}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{6}+\displaystyle\frac{3}{6}\)
\(\,\,\,\,\,\,\displaystyle\frac{2+3}{6}\)
\(\,\,\,\,\,\,\displaystyle\frac{5}{6} \)
\(\textbf{2)}\) \(\hspace{1ex}\displaystyle\frac{4}{5}+\displaystyle\frac{2}{3} \)
The answer is \( \displaystyle\frac{22}{15}=\)\(1\frac{7}{15} \)
\(\textbf{3)}\) \(\hspace{1ex}\displaystyle\frac{2}{3}-\displaystyle\frac{1}{2} \)
The answer is \( \displaystyle\frac{1}{6} \)
\(\textbf{4)}\) \(\hspace{1ex}\displaystyle\frac{3}{4}+\displaystyle\frac{1}{8} \)
The answer is \( \displaystyle\frac{7}{8} \)
\(\textbf{5)}\) \(\hspace{1ex}\displaystyle\frac{2}{5}-\displaystyle\frac{1}{6} \)
The answer is \( \displaystyle\frac{7}{30} \)
\(\textbf{6)}\) \(\hspace{1ex}\displaystyle\frac{2}{9}+\displaystyle\frac{1}{3} \)
The answer is \( \displaystyle\frac{5}{9} \)
\(\textbf{7)}\) \(\hspace{1ex}\displaystyle\frac{4}{9}+\displaystyle\frac{2}{3} \)
The answer is \( \displaystyle\frac{10}{9}=1 \displaystyle\frac{1}{9} \)
\(\textbf{8)}\) \(\hspace{1ex}\displaystyle\frac{5}{8}-\displaystyle\frac{1}{8} \)
The answer is \( \displaystyle\frac{1}{2} \)
\(\textbf{9)}\) \(\hspace{1ex}\displaystyle\frac{2}{3}+\displaystyle\frac{4}{3} \)
The answer is \( 2 \)
\(\textbf{10)}\) \(\hspace{1ex}5\displaystyle\frac{1}{3}+6\displaystyle\frac{1}{2} \)
The answer is \( 11 \displaystyle\frac{5}{6} \)
\(\textbf{11)}\) \(\hspace{1ex}\displaystyle\frac{3}{8}-\displaystyle\frac{1}{9} \)
The answer is \( \displaystyle\frac{19}{72} \)
\(\textbf{12)}\) \(\hspace{1ex}\displaystyle\frac{2}{5}-\displaystyle\frac{1}{4} \)
The answer is \( \displaystyle\frac{3}{20} \)
\(\textbf{13)}\) \(\hspace{1ex}\displaystyle\frac{4}{5}+\displaystyle\frac{1}{6} \)
The answer is \( \displaystyle\frac{29}{30} \)
\(\textbf{14)}\) \(\hspace{1ex}\displaystyle\frac{7}{8}-\displaystyle\frac{3}{4} \)
The answer is \( \displaystyle\frac{1}{8} \)
\(\textbf{15)}\) \(\hspace{1ex}\displaystyle\frac{2}{3}+\displaystyle\frac{3}{5} \)
The answer is \( 1\frac{14}{15}=\displaystyle\frac{29}{15} \)