12 1/3 + 21 2/3

asked by guest
on Nov 27, 2024 at 3:49 am



You asked:

Evaluate the expression: \(12\frac{1}{3} + 21\frac{2}{3}\)

MathBot Answer:

\[ 12\frac{1}{3} + 21\frac{2}{3} = 34 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{12}{1}\), \(\frac{1}{3}\), \(\frac{21}{1}\), and \(\frac{2}{3}\) is \(3\). \[ \begin{aligned} 12\frac{1}{3} + 21\frac{2}{3} &= \frac{12 \cdot 3}{1 \cdot 3} + \frac{1 \cdot 1}{3 \cdot 1} + \frac{21 \cdot 3}{1 \cdot 3} + \frac{2 \cdot 1}{3 \cdot 1} \\ &= \frac{36 + 1 + 63 + 2}{3} \\ &= \frac{102}{3} \\&= 34 \end{aligned} \]