6 1/6+1/4

asked by guest
on Jan 12, 2025 at 10:33 am



You asked:

Evaluate the expression: \(6\frac{1}{6} + \frac{1}{4}\)

MathBot Answer:

\[ 6\frac{1}{6} + \frac{1}{4} = \frac{77}{12} = 6.41\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{6}{1}\), \(\frac{1}{6}\), and \(\frac{1}{4}\) is \(12\). \[ \begin{aligned} 6\frac{1}{6} + \frac{1}{4} &= \frac{6 \cdot 12}{1 \cdot 12} + \frac{1 \cdot 2}{6 \cdot 2} + \frac{1 \cdot 3}{4 \cdot 3} \\ &= \frac{72 + 2 + 3}{12} \\ &= \frac{77}{12} \end{aligned} \]


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