Evaluate
\frac{9}{8}-\frac{5}{G}
Factor
\frac{9G-40}{8G}
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\frac{3}{4}\times \frac{3}{2}-\frac{5}{G}
Divide \frac{3}{4} by \frac{2}{3} by multiplying \frac{3}{4} by the reciprocal of \frac{2}{3}.
\frac{3\times 3}{4\times 2}-\frac{5}{G}
Multiply \frac{3}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{9}{8}-\frac{5}{G}
Do the multiplications in the fraction \frac{3\times 3}{4\times 2}.
\frac{9G}{8G}-\frac{5\times 8}{8G}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and G is 8G. Multiply \frac{9}{8} times \frac{G}{G}. Multiply \frac{5}{G} times \frac{8}{8}.
\frac{9G-5\times 8}{8G}
Since \frac{9G}{8G} and \frac{5\times 8}{8G} have the same denominator, subtract them by subtracting their numerators.
\frac{9G-40}{8G}
Do the multiplications in 9G-5\times 8.
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}