9/8 + 7/12 simplify

asked by guest
on Jan 14, 2025 at 3:12 pm



You asked:

Evaluate the expression: \(\frac{9}{8} + \frac{7}{12}\)

MathBot Answer:

\[ \frac{9}{8} + \frac{7}{12} = \frac{41}{24} = 1.708\overline{3} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{9}{8}\) and \(\frac{7}{12}\) is \(24\). \[ \begin{aligned} \frac{9}{8} + \frac{7}{12} &= \frac{9 \cdot 3}{8 \cdot 3} + \frac{7 \cdot 2}{12 \cdot 2} \\ &= \frac{27 + 14}{24} \\ &= \frac{41}{24} \end{aligned} \]