3/4 + 3/5 + 1/3

asked by guest
on Nov 24, 2024 at 12:26 pm



You asked:

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

MathBot Answer:

\[ \frac{3}{4} + \frac{3}{5} + \frac{1}{3} = \frac{101}{60} = 1.68\overline{3} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{4}\), \(\frac{3}{5}\), and \(\frac{1}{3}\) is \(60\). \[ \begin{aligned} \frac{3}{4} + \frac{3}{5} + \frac{1}{3} &= \frac{3 \cdot 15}{4 \cdot 15} + \frac{3 \cdot 12}{5 \cdot 12} + \frac{1 \cdot 20}{3 \cdot 20} \\ &= \frac{45 + 36 + 20}{60} \\ &= \frac{101}{60} \end{aligned} \]