11265/88 - 84 - 1/88

asked by guest
on Jan 15, 2025 at 6:07 am



You asked:

Evaluate the expression: \(\frac{11265}{88} - 84 - \frac{1}{88}\)

MathBot Answer:

\[ \frac{11265}{88} - 84 - \frac{1}{88} = 44 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{11265}{88}\), \(\frac{-84}{1}\), and \(\frac{-1}{88}\) is \(88\). \[ \begin{aligned} \frac{11265}{88} - 84 - \frac{1}{88} &= \frac{11265 \cdot 1}{88 \cdot 1} + \frac{-84 \cdot 88}{1 \cdot 88} + \frac{-1 \cdot 1}{88 \cdot 1} \\ &= \frac{11265 + -7392 + -1}{88} \\ &= \frac{3872}{88} \\&= 44 \end{aligned} \]