Question

[Ngo Hong Phuc]

Thực hiện phép tính

1,      3×(1/7+1/3—3/14):11/4

2,       (21/8+1/2):5/16

Answer 1

[Fudo]

\(\text{Thực hiện phép tính}\)

   \(3\text{ × }\left(\frac{1}{7}+\frac{1}{3}-\frac{3}{14}\right) : \frac{11}{4}\)

\(=3\text{ x }\left(\frac{3}{21}+\frac{7}{21}-\frac{3}{14}\right)\text{ : }\frac{11}{4}\)

\(=3\text{ x }\left(\frac{10}{21}-\frac{3}{14}\right)\text{ : }\frac{11}{4}\)

\(=3\text{ x }\left(\frac{140}{294}-\frac{63}{294}\right)\text{ : }\frac{11}{4}\)

\(=3\text{ x }\frac{77}{294}\text{ : }\frac{11}{4}\)

\(=\frac{231}{294}:\frac{11}{4}\)

\(=\frac{231}{294}\text{ x }\frac{4}{11}\)

\(=\frac{924}{3234}=\text{Phân số này có thể rút gọn đó bạn ! Bạn tự rút gọn nha !}\)

   \(\left(\frac{21}{8}+\frac{1}{2}\right)\text{ : }\frac{5}{16}\)

\(=\left(\frac{21}{8}+\frac{4}{8}\right)\text{ : }\frac{5}{16}\)

\(=\frac{25}{8}\text{ : }\frac{5}{16}\)

\(=\frac{25}{8}\text{ x }\frac{16}{5}\)

\(=\frac{400}{40}=10\)