7/10-19/20

asked by guest
on Nov 25, 2024 at 11:23 am



You asked:

Evaluate the expression: \(\frac{7}{10} - \frac{19}{20}\)

MathBot Answer:

\[ \frac{7}{10} - \frac{19}{20} = - \frac{1}{4} = -0.25 \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{7}{10}\) and \(\frac{-19}{20}\) is \(20\). \[ \begin{aligned} \frac{7}{10} - \frac{19}{20} &= \frac{7 \cdot 2}{10 \cdot 2} + \frac{-19 \cdot 1}{20 \cdot 1} \\ &= \frac{14 + -19}{20} \\ &= \frac{-5}{20} \\&= - \frac{1}{4} \end{aligned} \]