167/12-95/8

asked by guest
on Nov 14, 2024 at 2:56 am



You asked:

Evaluate the expression: \(\frac{167}{12} - \frac{95}{8}\)

MathBot Answer:

\[ \frac{167}{12} - \frac{95}{8} = \frac{49}{24} = 2.041\overline{6} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{167}{12}\) and \(\frac{-95}{8}\) is \(24\). \[ \begin{aligned} \frac{167}{12} - \frac{95}{8} &= \frac{167 \cdot 2}{12 \cdot 2} + \frac{-95 \cdot 3}{8 \cdot 3} \\ &= \frac{334 + -285}{24} \\ &= \frac{49}{24} \end{aligned} \]