Evaluate
\frac{23}{15}\approx 1.533333333
Factor
\frac{23}{3 \cdot 5} = 1\frac{8}{15} = 1.5333333333333334
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\frac{0.21+0.06+0.11+0.05+0.02+0.01}{-0.06+0.11+0.05+0.02+0.01+0.04+0.08+0.05}
Add 0.08 and 0.13 to get 0.21.
\frac{0.27+0.11+0.05+0.02+0.01}{-0.06+0.11+0.05+0.02+0.01+0.04+0.08+0.05}
Add 0.21 and 0.06 to get 0.27.
\frac{0.38+0.05+0.02+0.01}{-0.06+0.11+0.05+0.02+0.01+0.04+0.08+0.05}
Add 0.27 and 0.11 to get 0.38.
\frac{0.43+0.02+0.01}{-0.06+0.11+0.05+0.02+0.01+0.04+0.08+0.05}
Add 0.38 and 0.05 to get 0.43.
\frac{0.45+0.01}{-0.06+0.11+0.05+0.02+0.01+0.04+0.08+0.05}
Add 0.43 and 0.02 to get 0.45.
\frac{0.46}{-0.06+0.11+0.05+0.02+0.01+0.04+0.08+0.05}
Add 0.45 and 0.01 to get 0.46.
\frac{0.46}{0.05+0.05+0.02+0.01+0.04+0.08+0.05}
Add -0.06 and 0.11 to get 0.05.
\frac{0.46}{0.1+0.02+0.01+0.04+0.08+0.05}
Add 0.05 and 0.05 to get 0.1.
\frac{0.46}{0.12+0.01+0.04+0.08+0.05}
Add 0.1 and 0.02 to get 0.12.
\frac{0.46}{0.13+0.04+0.08+0.05}
Add 0.12 and 0.01 to get 0.13.
\frac{0.46}{0.17+0.08+0.05}
Add 0.13 and 0.04 to get 0.17.
\frac{0.46}{0.25+0.05}
Add 0.17 and 0.08 to get 0.25.
\frac{0.46}{0.3}
Add 0.25 and 0.05 to get 0.3.
\frac{46}{30}
Expand \frac{0.46}{0.3} by multiplying both numerator and the denominator by 100.
\frac{23}{15}
Reduce the fraction \frac{46}{30} to lowest terms by extracting and canceling out 2.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}