7/20 + 2 3/4
You asked:
Evaluate the expression: \(\frac{7}{20} + 2\frac{3}{4}\)
MathBot Answer:
\[ \frac{7}{20} + 2\frac{3}{4} = \frac{31}{10} = 3.1 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{7}{20}\), \(\frac{2}{1}\), and \(\frac{3}{4}\) is \(20\). \[ \begin{aligned} \frac{7}{20} + 2\frac{3}{4} &= \frac{7 \cdot 1}{20 \cdot 1} + \frac{2 \cdot 20}{1 \cdot 20} + \frac{3 \cdot 5}{4 \cdot 5} \\ &= \frac{7 + 40 + 15}{20} \\ &= \frac{62}{20} \\&= \frac{31}{10} \end{aligned} \]