Trong các phân số \(\Large\dfrac{2}{3} \); \(\Large\dfrac{5}{8} \); \(

Trong các phân số \(\Large\dfrac{2}{3} \); \(\Large\dfrac{5}{8} \); \(\Large\dfrac{1}{2} \), phân số nào lớn nhất?

• A.

  \(\large\dfrac{2}{3} \)

• B.

  \(\large\dfrac{5}{8} \)

• C.

  \(\large\dfrac{1}{2} \)

Ta có:

\(\Large\dfrac{2}{3} \) = \(\Large\dfrac{2 \times 8 }{3 \times 8} \) = \(\Large\dfrac{16}{24} \)

\(\Large\dfrac{5}{8} \) = \(\Large\dfrac{5 \times 3 }{8 \times 3} \) = \(\Large\dfrac{15}{24} \)

\(\Large\dfrac{1}{2} \) = \(\Large\dfrac{1 \times 12 }{2 \times 12} \) = \(\Large\dfrac{12}{24} \)

Vì: \(\Large\dfrac{16}{24} \) > \(\Large\dfrac{15}{24} \) > \(\Large\dfrac{12}{24} \)

Nên: \(\Large\dfrac{2}{3} \) >  \(\Large\dfrac{5}{8} \) > \(\Large\dfrac{1}{2} \)

Phân số lớn nhất là \(\Large\dfrac{2}{3} \).