=12 3/4 +11 4/5

asked by guest
on Jan 08, 2025 at 5:20 am



You asked:

Evaluate the expression: \(12\frac{3}{4} + 11\frac{4}{5}\)

MathBot Answer:

\[ 12\frac{3}{4} + 11\frac{4}{5} = \frac{491}{20} = 24.55 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{12}{1}\), \(\frac{3}{4}\), \(\frac{11}{1}\), and \(\frac{4}{5}\) is \(20\). \[ \begin{aligned} 12\frac{3}{4} + 11\frac{4}{5} &= \frac{12 \cdot 20}{1 \cdot 20} + \frac{3 \cdot 5}{4 \cdot 5} + \frac{11 \cdot 20}{1 \cdot 20} + \frac{4 \cdot 4}{5 \cdot 4} \\ &= \frac{240 + 15 + 220 + 16}{20} \\ &= \frac{491}{20} \end{aligned} \]