Math Problem Solver

\[4 + 3 \:\%\: 5 = 7\]

\[\begin{aligned}4 + 3 \:\%\: 5& = 4 + \left(3 \:\%\: 5\right)\\& = 4 + 3\\& = 7\end{aligned}\]

The notation \(m \% n\) denotes the remainder of the integer \(m\) divided by the integer \(n\). \(m \% n = r\) means that given integers \(m\) and \(n\), where \(n\) is non-zero, there exist integers \(q\) and \(r\), where \(\lvert r \rvert < \lvert n \rvert\), such that \(m = q n + r\). MathBot adopts the convention that the remainder \(r\) and the divisor \(n\) share the same sign. Alternate notations for \(m \% n\) are \(\operatorname{mod}(m, n)\) and \(m \bmod n\).