2 1/8-3/4

asked by guest
on Jan 23, 2025 at 2:19 pm



You asked:

Evaluate the expression: \(2\frac{1}{8} - \frac{3}{4}\)

MathBot Answer:

\[ 2\frac{1}{8} - \frac{3}{4} = \frac{11}{8} = 1.375 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{1}{8}\), and \(\frac{-3}{4}\) is \(8\). \[ \begin{aligned} 2\frac{1}{8} - \frac{3}{4} &= \frac{2 \cdot 8}{1 \cdot 8} + \frac{1 \cdot 1}{8 \cdot 1} + \frac{-3 \cdot 2}{4 \cdot 2} \\ &= \frac{16 + 1 + -6}{8} \\ &= \frac{11}{8} \end{aligned} \]