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Arithmetic
5 problems similar to:
\frac { 1 } { 4 } = \frac { 5 } { 4 } \times 7 \frac { 3 } { 8 }
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2=\frac{5}{4}\left(7\times 8+3\right)
Multiply both sides of the equation by 8, the least common multiple of 4,8.
2=\frac{5}{4}\left(56+3\right)
Multiply 7 and 8 to get 56.
2=\frac{5}{4}\times 59
Add 56 and 3 to get 59.
2=\frac{5\times 59}{4}
Express \frac{5}{4}\times 59 as a single fraction.
2=\frac{295}{4}
Multiply 5 and 59 to get 295.
\frac{8}{4}=\frac{295}{4}
Convert 2 to fraction \frac{8}{4}.
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Compare \frac{8}{4} and \frac{295}{4}.
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}