63/10-11/4-8/5

asked by guest
on Dec 27, 2024 at 2:43 am



You asked:

Evaluate the expression: \(\frac{63}{10} - \frac{11}{4} - \frac{8}{5}\)

MathBot Answer:

\[ \frac{63}{10} - \frac{11}{4} - \frac{8}{5} = \frac{39}{20} = 1.95 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{63}{10}\), \(\frac{-11}{4}\), and \(\frac{-8}{5}\) is \(20\). \[ \begin{aligned} \frac{63}{10} - \frac{11}{4} - \frac{8}{5} &= \frac{63 \cdot 2}{10 \cdot 2} + \frac{-11 \cdot 5}{4 \cdot 5} + \frac{-8 \cdot 4}{5 \cdot 4} \\ &= \frac{126 + -55 + -32}{20} \\ &= \frac{39}{20} \end{aligned} \]