Evaluate
6.7275
Factor
\frac{13 \cdot 23 \cdot 3 ^ {2}}{2 ^ {4} \cdot 5 ^ {2}} = 6\frac{291}{400} = 6.7275
Share
Copied to clipboard
2.07\left(\frac{29}{8}-\frac{3}{8}\right)
Convert decimal number 3.625 to fraction \frac{3625}{1000}. Reduce the fraction \frac{3625}{1000} to lowest terms by extracting and canceling out 125.
2.07\times \frac{29-3}{8}
Since \frac{29}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.
2.07\times \frac{26}{8}
Subtract 3 from 29 to get 26.
2.07\times \frac{13}{4}
Reduce the fraction \frac{26}{8} to lowest terms by extracting and canceling out 2.
\frac{207}{100}\times \frac{13}{4}
Convert decimal number 2.07 to fraction \frac{207}{100}.
\frac{207\times 13}{100\times 4}
Multiply \frac{207}{100} times \frac{13}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{2691}{400}
Do the multiplications in the fraction \frac{207\times 13}{100\times 4}.
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}