one third minus three fifths

asked by guest
on Oct 28, 2024 at 8:31 am



You asked:

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

MathBot Answer:

\[ \frac{1}{3} - \frac{3}{5} = - \frac{4}{15} = -0.2\overline{6} \]


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