3/4+2/5-1/4

asked by guest
on Nov 24, 2024 at 1:18 pm



You asked:

Evaluate the expression: \(\frac{3}{4} + \frac{2}{5} - \frac{1}{4}\)

MathBot Answer:

\[ \frac{3}{4} + \frac{2}{5} - \frac{1}{4} = \frac{9}{10} = 0.9 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{4}\), \(\frac{2}{5}\), and \(\frac{-1}{4}\) is \(20\). \[ \begin{aligned} \frac{3}{4} + \frac{2}{5} - \frac{1}{4} &= \frac{3 \cdot 5}{4 \cdot 5} + \frac{2 \cdot 4}{5 \cdot 4} + \frac{-1 \cdot 5}{4 \cdot 5} \\ &= \frac{15 + 8 + -5}{20} \\ &= \frac{18}{20} \\&= \frac{9}{10} \end{aligned} \]