6,72 \cdot 2 \frac { 1 } { 3 } - 3,72 \cdot 2 \frac { 1 } { 3 } =
Evaluate
7
Factor
7
Share
Copied to clipboard
6,72\times \frac{6+1}{3}-3,72\times \frac{2\times 3+1}{3}
Multiply 2 and 3 to get 6.
6,72\times \frac{7}{3}-3,72\times \frac{2\times 3+1}{3}
Add 6 and 1 to get 7.
\frac{168}{25}\times \frac{7}{3}-3,72\times \frac{2\times 3+1}{3}
Convert decimal number 6,72 to fraction \frac{672}{100}. Reduce the fraction \frac{672}{100} to lowest terms by extracting and canceling out 4.
\frac{168\times 7}{25\times 3}-3,72\times \frac{2\times 3+1}{3}
Multiply \frac{168}{25} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{1176}{75}-3,72\times \frac{2\times 3+1}{3}
Do the multiplications in the fraction \frac{168\times 7}{25\times 3}.
\frac{392}{25}-3,72\times \frac{2\times 3+1}{3}
Reduce the fraction \frac{1176}{75} to lowest terms by extracting and canceling out 3.
\frac{392}{25}-3,72\times \frac{6+1}{3}
Multiply 2 and 3 to get 6.
\frac{392}{25}-3,72\times \frac{7}{3}
Add 6 and 1 to get 7.
\frac{392}{25}-\frac{93}{25}\times \frac{7}{3}
Convert decimal number 3,72 to fraction \frac{372}{100}. Reduce the fraction \frac{372}{100} to lowest terms by extracting and canceling out 4.
\frac{392}{25}-\frac{93\times 7}{25\times 3}
Multiply \frac{93}{25} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{392}{25}-\frac{651}{75}
Do the multiplications in the fraction \frac{93\times 7}{25\times 3}.
\frac{392}{25}-\frac{217}{25}
Reduce the fraction \frac{651}{75} to lowest terms by extracting and canceling out 3.
\frac{392-217}{25}
Since \frac{392}{25} and \frac{217}{25} have the same denominator, subtract them by subtracting their numerators.
\frac{175}{25}
Subtract 217 from 392 to get 175.
7
Divide 175 by 25 to get 7.
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}