1. Rút gọn phân số
a) \(\dfrac{-12}{21}\) = \(\dfrac{-12:3}{21:3}\) = \(\dfrac{-4}{7}\)
b) \(\dfrac{-63}{81}\) = \(\dfrac{-63:9}{81:9}\) = \(\dfrac{-7}{9}\)
2. Quy đồng mẫu số
\(\dfrac{-6}{5}\) \(\dfrac{8}{-4}\)
⇒ \(\dfrac{-6}{5}\) = \(\dfrac{-8}{4}\) MSC: 20
\(\dfrac{-6}{5}\) = \(\dfrac{-24}{20}\)
\(\dfrac{-8}{4}\) = \(\dfrac{-40}{20}\)
3. So sánh phân số
\(\dfrac{6}{7}\) và \(\dfrac{11}{10}\) MSC: 70
\(\dfrac{6}{7}\) = \(\dfrac{60}{70}\)
\(\dfrac{11}{10}\) = \(\dfrac{77}{70}\)
Vì \(\dfrac{60}{70}\) < \(\dfrac{77}{70}\) nên \(\dfrac{6}{7}\) < \(\dfrac{11}{10}\)
4. Cộng hai phân số
a) \(\dfrac{3}{4}\) + \(\dfrac{-7}{6}\) MSC: 12
\(\dfrac{3}{4}\) = \(\dfrac{9}{12}\)
\(\dfrac{-7}{6}\) = \(\dfrac{-14}{12}\)
\(\dfrac{9+\left(-4\right)}{12}\) = \(\dfrac{-5}{12}\)