Evaluate
0.75
Factor
\frac{3}{2 ^ {2}} = 0.75
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4.5\times \frac{6+1}{2}-\frac{3}{0.2}
Multiply 3 and 2 to get 6.
4.5\times \frac{7}{2}-\frac{3}{0.2}
Add 6 and 1 to get 7.
\frac{9}{2}\times \frac{7}{2}-\frac{3}{0.2}
Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.
\frac{9\times 7}{2\times 2}-\frac{3}{0.2}
Multiply \frac{9}{2} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{63}{4}-\frac{3}{0.2}
Do the multiplications in the fraction \frac{9\times 7}{2\times 2}.
\frac{63}{4}-\frac{30}{2}
Expand \frac{3}{0.2} by multiplying both numerator and the denominator by 10.
\frac{63}{4}-15
Divide 30 by 2 to get 15.
\frac{63}{4}-\frac{60}{4}
Convert 15 to fraction \frac{60}{4}.
\frac{63-60}{4}
Since \frac{63}{4} and \frac{60}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{4}
Subtract 60 from 63 to get 3.
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}