start fraction, 19, divided by, 56, end fraction, minus, start fraction, 1, divided by, 72, end fraction, minus, start fraction, 10, divided by, 84, end fraction, plus, start fraction, 8, divided by, 63, end fraction, equals, equals

\frac{ 19 }{ 56 } - \frac{ 1 }{ 72 } - \frac{ 10 }{ 84 } + \frac{ 8 }{ 63 } ==

Evaluate

\frac{1}{3}\approx 0.333333333

Factor

\frac{1}{3} \approx 0.333333333

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\frac{171}{504}-\frac{7}{504}-\frac{10}{84}+\frac{8}{63}

Least common multiple of 56 and 72 is 504. Convert \frac{19}{56} and \frac{1}{72} to fractions with denominator 504.

\frac{171-7}{504}-\frac{10}{84}+\frac{8}{63}

Since \frac{171}{504} and \frac{7}{504} have the same denominator, subtract them by subtracting their numerators.

\frac{164}{504}-\frac{10}{84}+\frac{8}{63}

Subtract 7 from 171 to get 164.

\frac{41}{126}-\frac{10}{84}+\frac{8}{63}

Reduce the fraction \frac{164}{504} to lowest terms by extracting and canceling out 4.

\frac{41}{126}-\frac{5}{42}+\frac{8}{63}

Reduce the fraction \frac{10}{84} to lowest terms by extracting and canceling out 2.

\frac{41}{126}-\frac{15}{126}+\frac{8}{63}

Least common multiple of 126 and 42 is 126. Convert \frac{41}{126} and \frac{5}{42} to fractions with denominator 126.

\frac{41-15}{126}+\frac{8}{63}

Since \frac{41}{126} and \frac{15}{126} have the same denominator, subtract them by subtracting their numerators.

\frac{26}{126}+\frac{8}{63}

Subtract 15 from 41 to get 26.

\frac{13}{63}+\frac{8}{63}

Reduce the fraction \frac{26}{126} to lowest terms by extracting and canceling out 2.

\frac{13+8}{63}

Since \frac{13}{63} and \frac{8}{63} have the same denominator, add them by adding their numerators.

\frac{21}{63}

Add 13 and 8 to get 21.

\frac{1}{3}

Reduce the fraction \frac{21}{63} to lowest terms by extracting and canceling out 21.

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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}