Question

tính nhanh :

a. 1/12 + 1/20 + 1/30 + 1/42

b. 1/5 + 1/10 + 1/20 + 1/40

Answer 1

\(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)

= \(\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+\frac{1}{6\times7}\)

=\(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)

=\(\frac{1}{3}-\frac{1}{7}\)

=\(\frac{4}{21}\)