115/45 - 3/4

asked by guest
on Nov 24, 2024 at 4:23 pm



You asked:

Evaluate the expression: \(\frac{115}{45} - \frac{3}{4}\)

MathBot Answer:

\[ \frac{115}{45} - \frac{3}{4} = \frac{65}{36} = 1.80\overline{5} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{115}{45}\) and \(\frac{-3}{4}\) is \(180\). \[ \begin{aligned} \frac{115}{45} - \frac{3}{4} &= \frac{115 \cdot 4}{45 \cdot 4} + \frac{-3 \cdot 45}{4 \cdot 45} \\ &= \frac{460 + -135}{180} \\ &= \frac{325}{180} \\&= \frac{65}{36} \end{aligned} \]