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\frac{1}{7}\neq 0.08+2.4-27.2
Reduce the fraction \frac{8}{56} to lowest terms by extracting and canceling out 8.
\frac{1}{7}\neq 2.48-27.2
Add 0.08 and 2.4 to get 2.48.
\frac{1}{7}\neq -24.72
Subtract 27.2 from 2.48 to get -24.72.
\frac{1}{7}\neq -\frac{618}{25}
Convert decimal number -24.72 to fraction -\frac{2472}{100}. Reduce the fraction -\frac{2472}{100} to lowest terms by extracting and canceling out 4.
\frac{25}{175}\neq -\frac{4326}{175}
Least common multiple of 7 and 25 is 175. Convert \frac{1}{7} and -\frac{618}{25} to fractions with denominator 175.
\text{true}
Compare \frac{25}{175} and -\frac{4326}{175}.
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}