Verify
false
Share
Copied to clipboard
\frac{45}{2}\times \frac{8}{9}+9\left(3\times 3+1\right)=4\left(2\times 9+7\right)
Multiply both sides of the equation by 36, the least common multiple of 4,3,9.
\frac{45\times 8}{2\times 9}+9\left(3\times 3+1\right)=4\left(2\times 9+7\right)
Multiply \frac{45}{2} times \frac{8}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{360}{18}+9\left(3\times 3+1\right)=4\left(2\times 9+7\right)
Do the multiplications in the fraction \frac{45\times 8}{2\times 9}.
20+9\left(3\times 3+1\right)=4\left(2\times 9+7\right)
Divide 360 by 18 to get 20.
20+9\left(9+1\right)=4\left(2\times 9+7\right)
Multiply 3 and 3 to get 9.
20+9\times 10=4\left(2\times 9+7\right)
Add 9 and 1 to get 10.
20+90=4\left(2\times 9+7\right)
Multiply 9 and 10 to get 90.
110=4\left(2\times 9+7\right)
Add 20 and 90 to get 110.
110=4\left(18+7\right)
Multiply 2 and 9 to get 18.
110=4\times 25
Add 18 and 7 to get 25.
110=100
Multiply 4 and 25 to get 100.
\text{false}
Compare 110 and 100.
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}