Evaluate
\frac{7}{10}=0.7
Factor
\frac{7}{2 \cdot 5} = 0.7
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\frac{\frac{4+3}{4}\times \frac{3}{5}}{\frac{1\times 2+1}{2}}
Multiply 1 and 4 to get 4.
\frac{\frac{7}{4}\times \frac{3}{5}}{\frac{1\times 2+1}{2}}
Add 4 and 3 to get 7.
\frac{\frac{7\times 3}{4\times 5}}{\frac{1\times 2+1}{2}}
Multiply \frac{7}{4} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\frac{21}{20}}{\frac{1\times 2+1}{2}}
Do the multiplications in the fraction \frac{7\times 3}{4\times 5}.
\frac{\frac{21}{20}}{\frac{2+1}{2}}
Multiply 1 and 2 to get 2.
\frac{\frac{21}{20}}{\frac{3}{2}}
Add 2 and 1 to get 3.
\frac{21}{20}\times \frac{2}{3}
Divide \frac{21}{20} by \frac{3}{2} by multiplying \frac{21}{20} by the reciprocal of \frac{3}{2}.
\frac{21\times 2}{20\times 3}
Multiply \frac{21}{20} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{42}{60}
Do the multiplications in the fraction \frac{21\times 2}{20\times 3}.
\frac{7}{10}
Reduce the fraction \frac{42}{60} to lowest terms by extracting and canceling out 6.
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}