what is 3 7/6+1/16

asked by guest
on Sep 20, 2024 at 5:37 am



You asked:

Evaluate the expression: \(3\frac{7}{6} + \frac{1}{16}\)

MathBot Answer:

\[ 3\frac{7}{6} + \frac{1}{16} = \frac{203}{48} = 4.2291\overline{6} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{1}\), \(\frac{7}{6}\), and \(\frac{1}{16}\) is \(48\). \[ \begin{aligned} 3\frac{7}{6} + \frac{1}{16} &= \frac{3 \cdot 48}{1 \cdot 48} + \frac{7 \cdot 8}{6 \cdot 8} + \frac{1 \cdot 3}{16 \cdot 3} \\ &= \frac{144 + 56 + 3}{48} \\ &= \frac{203}{48} \end{aligned} \]