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\frac{12\times 1+18}{20}=\frac{1}{20}\times \frac{1}{18}\text{ and }\frac{1}{20}\times \frac{1}{18}=\frac{1\times 10+19}{10}
Express \frac{\frac{12\times 1+18}{1}}{20} as a single fraction.
\frac{12+18}{20}=\frac{1}{20}\times \frac{1}{18}\text{ and }\frac{1}{20}\times \frac{1}{18}=\frac{1\times 10+19}{10}
Multiply 12 and 1 to get 12.
\frac{30}{20}=\frac{1}{20}\times \frac{1}{18}\text{ and }\frac{1}{20}\times \frac{1}{18}=\frac{1\times 10+19}{10}
Add 12 and 18 to get 30.
\frac{3}{2}=\frac{1}{20}\times \frac{1}{18}\text{ and }\frac{1}{20}\times \frac{1}{18}=\frac{1\times 10+19}{10}
Reduce the fraction \frac{30}{20} to lowest terms by extracting and canceling out 10.
\frac{3}{2}=\frac{1\times 1}{20\times 18}\text{ and }\frac{1}{20}\times \frac{1}{18}=\frac{1\times 10+19}{10}
Multiply \frac{1}{20} times \frac{1}{18} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{2}=\frac{1}{360}\text{ and }\frac{1}{20}\times \frac{1}{18}=\frac{1\times 10+19}{10}
Do the multiplications in the fraction \frac{1\times 1}{20\times 18}.
\frac{540}{360}=\frac{1}{360}\text{ and }\frac{1}{20}\times \frac{1}{18}=\frac{1\times 10+19}{10}
Least common multiple of 2 and 360 is 360. Convert \frac{3}{2} and \frac{1}{360} to fractions with denominator 360.
\text{false}\text{ and }\frac{1}{20}\times \frac{1}{18}=\frac{1\times 10+19}{10}
Compare \frac{540}{360} and \frac{1}{360}.
\text{false}\text{ and }\frac{1\times 1}{20\times 18}=\frac{1\times 10+19}{10}
Multiply \frac{1}{20} times \frac{1}{18} by multiplying numerator times numerator and denominator times denominator.
\text{false}\text{ and }\frac{1}{360}=\frac{1\times 10+19}{10}
Do the multiplications in the fraction \frac{1\times 1}{20\times 18}.
\text{false}\text{ and }\frac{1}{360}=\frac{10+19}{10}
Multiply 1 and 10 to get 10.
\text{false}\text{ and }\frac{1}{360}=\frac{29}{10}
Add 10 and 19 to get 29.
\text{false}\text{ and }\frac{1}{360}=\frac{1044}{360}
Least common multiple of 360 and 10 is 360. Convert \frac{1}{360} and \frac{29}{10} to fractions with denominator 360.
\text{false}\text{ and }\text{false}
Compare \frac{1}{360} and \frac{1044}{360}.
\text{false}
The conjunction of \text{false} and \text{false} is \text{false}.
Examples
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{ 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}