Trong các phép tính dưới đây, phép tính có kết quả lớn nhất là:

5/11

\(\frac{1}{4} + \frac{5}{{12}}\)

\(\frac{1}{2} \times \frac{5}{3}\)

\(1 - \frac{{11}}{{24}}\)

\(\frac{7}{2}:4\)

Giải thích

Đáp án đúng là: D

A. \(\frac{1}{4} + \frac{5}{{12}}\,\, = \,\,\frac{3}{{12}}\,\, + \,\,\frac{5}{{12}}\,\, = \,\,\frac{8}{{12}}\,\, = \,\,\frac{{8\,\, \times \,\,2}}{{12\,\, \times \,\,2}}\,\, = \,\,\frac{{16}}{{24}}\)

B. \(\frac{1}{2}\,\, \times \,\,\frac{5}{3}\,\, = \,\,\frac{5}{6}\,\, = \,\,\frac{{5\,\, \times \,\,4}}{{6\,\, \times \,\,4}}\,\, = \,\,\frac{{20}}{{24}}\,\,\)

C. \(1\,\, - \frac{{11}}{{24}}\,\, = \,\,\frac{{24}}{{24}}\,\, - \,\,\frac{{11}}{{24}}\,\, = \,\,\frac{{13}}{{24}}\)

D. \(\frac{7}{2}\,\,:\,\,4\,\, = \,\,\frac{7}{2}\,\, \times \,\,\frac{1}{4}\,\, = \,\,\frac{7}{8}\,\, = \,\,\frac{{7\,\, \times \,\,3}}{{8\,\, \times \,\,3}}\,\, = \,\,\frac{{21}}{{24}}\)

So sánh: \(\frac{{13}}{{24}}\, < \,\,\frac{{16}}{{24}}\,\, < \,\,\frac{{20}}{{24}}\,\, < \,\,\frac{{21}}{{24}}\)

Vậy phép tính có kết quả lớn nhất là: \(\frac{7}{2}\,\,:\,\,4\,\)