Question

Tính bằng cách thuận tiên nhất

5 phần 12 × 2 phần 3 + 2 phần 3 × 7 phần 12 + 1 phần 3

Answer 1

\(\frac{5}{12}\times\frac{2}{3}+\frac{2}{3}\times\frac{7}{12}+\frac{1}{3}\)

\(=\frac{2}{3}\times\left(\frac{5}{12}+\frac{7}{12}\right)+\frac{1}{3}\)

\(=\frac{2}{3}\times1+\frac{1}{3}\)

\(=\frac{2}{3}+\frac{1}{3}\)

\(=1\)

Answer 2

\(\frac{5}{12}\times\frac{2}{3}+\frac{2}{3}\times\frac{7}{12}+\frac{1}{3}=\frac{2}{3}\times\left(\frac{5}{12}+\frac{7}{12}\right)+\frac{1}{3}\)

                                                   \(=\frac{2}{3}\times\frac{12}{12}+\frac{1}{3}=\frac{2}{3}\times1+\frac{1}{3}=\frac{2}{3}+\frac{1}{3}=\frac{3}{3}=1\)

Answer 3

5/12 x 2/3 + 2/3 x 7/12 + 1/3

=5/12 x 2/3 + 2/3 x 7/12 + 1/3 x 2

=(5/12 + 7/12 +12/12)x 2/3

=2x2/3

=4/3