(11/14)+(1/5)-(2/7)

asked by guest
on Nov 25, 2024 at 8:23 am



You asked:

Evaluate the expression: \(\frac{11}{14} + \frac{1}{5} - \frac{2}{7}\)

MathBot Answer:

\[ \frac{11}{14} + \frac{1}{5} - \frac{2}{7} = \frac{7}{10} = 0.7 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{11}{14}\), \(\frac{1}{5}\), and \(\frac{-2}{7}\) is \(70\). \[ \begin{aligned} \frac{11}{14} + \frac{1}{5} - \frac{2}{7} &= \frac{11 \cdot 5}{14 \cdot 5} + \frac{1 \cdot 14}{5 \cdot 14} + \frac{-2 \cdot 10}{7 \cdot 10} \\ &= \frac{55 + 14 + -20}{70} \\ &= \frac{49}{70} \\&= \frac{7}{10} \end{aligned} \]