22/5 subtract 20/7

asked by guest
on Nov 26, 2024 at 10:17 am



You asked:

Evaluate the expression: \(\frac{22}{5} - \frac{20}{7}\)

MathBot Answer:

\[ \frac{22}{5} - \frac{20}{7} = \frac{54}{35} = 1.5\overline{428571} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{22}{5}\) and \(\frac{-20}{7}\) is \(35\). \[ \begin{aligned} \frac{22}{5} - \frac{20}{7} &= \frac{22 \cdot 7}{5 \cdot 7} + \frac{-20 \cdot 5}{7 \cdot 5} \\ &= \frac{154 + -100}{35} \\ &= \frac{54}{35} \end{aligned} \]