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\frac{3}{6}+\frac{4}{6}+\frac{4}{3}=\frac{1}{2}+\frac{2}{3}+\frac{4}{3}
Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.
\frac{3+4}{6}+\frac{4}{3}=\frac{1}{2}+\frac{2}{3}+\frac{4}{3}
Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.
\frac{7}{6}+\frac{4}{3}=\frac{1}{2}+\frac{2}{3}+\frac{4}{3}
Add 3 and 4 to get 7.
\frac{7}{6}+\frac{8}{6}=\frac{1}{2}+\frac{2}{3}+\frac{4}{3}
Least common multiple of 6 and 3 is 6. Convert \frac{7}{6} and \frac{4}{3} to fractions with denominator 6.
\frac{7+8}{6}=\frac{1}{2}+\frac{2}{3}+\frac{4}{3}
Since \frac{7}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.
\frac{15}{6}=\frac{1}{2}+\frac{2}{3}+\frac{4}{3}
Add 7 and 8 to get 15.
\frac{5}{2}=\frac{1}{2}+\frac{2}{3}+\frac{4}{3}
Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.
\frac{5}{2}=\frac{3}{6}+\frac{4}{6}+\frac{4}{3}
Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.
\frac{5}{2}=\frac{3+4}{6}+\frac{4}{3}
Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.
\frac{5}{2}=\frac{7}{6}+\frac{4}{3}
Add 3 and 4 to get 7.
\frac{5}{2}=\frac{7}{6}+\frac{8}{6}
Least common multiple of 6 and 3 is 6. Convert \frac{7}{6} and \frac{4}{3} to fractions with denominator 6.
\frac{5}{2}=\frac{7+8}{6}
Since \frac{7}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.
\frac{5}{2}=\frac{15}{6}
Add 7 and 8 to get 15.
\frac{5}{2}=\frac{5}{2}
Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.
\text{true}
Compare \frac{5}{2} and \frac{5}{2}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}