4 \frac { 2 } { 7 } + 0,9 \cdot 3
Evaluate
\frac{489}{70}\approx 6,985714286
Factor
\frac{3 \cdot 163}{2 \cdot 5 \cdot 7} = 6\frac{69}{70} = 6.985714285714286
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\frac{28+2}{7}+0,9\times 3
Multiply 4 and 7 to get 28.
\frac{30}{7}+0,9\times 3
Add 28 and 2 to get 30.
\frac{30}{7}+2,7
Multiply 0,9 and 3 to get 2,7.
\frac{30}{7}+\frac{27}{10}
Convert decimal number 2,7 to fraction \frac{27}{10}.
\frac{300}{70}+\frac{189}{70}
Least common multiple of 7 and 10 is 70. Convert \frac{30}{7} and \frac{27}{10} to fractions with denominator 70.
\frac{300+189}{70}
Since \frac{300}{70} and \frac{189}{70} have the same denominator, add them by adding their numerators.
\frac{489}{70}
Add 300 and 189 to get 489.
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}