9 3/12 + 6 3/5

asked by guest
on Nov 18, 2024 at 8:30 am



You asked:

Evaluate the expression: \(9\frac{3}{12} + 6\frac{3}{5}\)

MathBot Answer:

\[ 9\frac{3}{12} + 6\frac{3}{5} = \frac{317}{20} = 15.85 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{9}{1}\), \(\frac{3}{12}\), \(\frac{6}{1}\), and \(\frac{3}{5}\) is \(60\). \[ \begin{aligned} 9\frac{3}{12} + 6\frac{3}{5} &= \frac{9 \cdot 60}{1 \cdot 60} + \frac{3 \cdot 5}{12 \cdot 5} + \frac{6 \cdot 60}{1 \cdot 60} + \frac{3 \cdot 12}{5 \cdot 12} \\ &= \frac{540 + 15 + 360 + 36}{60} \\ &= \frac{951}{60} \\&= \frac{317}{20} \end{aligned} \]