Math Problem Solver

\[ \frac{45}{15} + 12 - \frac{14}{7} = 13 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{45}{15}\), \(\frac{12}{1}\), and \(\frac{-14}{7}\) is \(105\). \[ \begin{aligned} \frac{45}{15} + 12 - \frac{14}{7} &= \frac{45 \cdot 7}{15 \cdot 7} + \frac{12 \cdot 105}{1 \cdot 105} + \frac{-14 \cdot 15}{7 \cdot 15} \\ &= \frac{315 + 1260 + -210}{105} \\ &= \frac{1365}{105} \\&= 13 \end{aligned} \]