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Arithmetic
5 problems similar to:
6 \frac { 3 } { 8 } - 4 \frac { 5 } { 8 } = 1 \frac { 6 } { 8 }
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6\times 8+3-\left(4\times 8+5\right)=1\times 8+6
Multiply both sides of the equation by 8.
48+3-\left(4\times 8+5\right)=1\times 8+6
Multiply 6 and 8 to get 48.
51-\left(4\times 8+5\right)=1\times 8+6
Add 48 and 3 to get 51.
51-\left(32+5\right)=1\times 8+6
Multiply 4 and 8 to get 32.
51-37=1\times 8+6
Add 32 and 5 to get 37.
14=1\times 8+6
Subtract 37 from 51 to get 14.
14=8+6
Multiply 1 and 8 to get 8.
14=14
Add 8 and 6 to get 14.
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Compare 14 and 14.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\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}