Evaluate
\frac{49}{12}\approx 4.083333333
Factor
\frac{7 ^ {2}}{3 \cdot 2 ^ {2}} = 4\frac{1}{12} = 4.083333333333333
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1.75+\frac{1.5+2}{3}\times 2
Multiply 0.5 and 3 to get 1.5.
1.75+\frac{3.5}{3}\times 2
Add 1.5 and 2 to get 3.5.
1.75+\frac{35}{30}\times 2
Expand \frac{3.5}{3} by multiplying both numerator and the denominator by 10.
1.75+\frac{7}{6}\times 2
Reduce the fraction \frac{35}{30} to lowest terms by extracting and canceling out 5.
1.75+\frac{7\times 2}{6}
Express \frac{7}{6}\times 2 as a single fraction.
1.75+\frac{14}{6}
Multiply 7 and 2 to get 14.
1.75+\frac{7}{3}
Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.
\frac{7}{4}+\frac{7}{3}
Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.
\frac{21}{12}+\frac{28}{12}
Least common multiple of 4 and 3 is 12. Convert \frac{7}{4} and \frac{7}{3} to fractions with denominator 12.
\frac{21+28}{12}
Since \frac{21}{12} and \frac{28}{12} have the same denominator, add them by adding their numerators.
\frac{49}{12}
Add 21 and 28 to get 49.
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}