Question

[thư nguyễn]

Bài 1:Thực hiện phép tính hợp lí ( nếu có thể):

a,\(\frac{-3}{7}\)+ \(\frac{3}{4}\): \(\frac{3}{14}\)

b, 5 - \(\frac{7}{39}\): \(\frac{7}{13}\)+ \(\frac{8}{9}\): 4

c, ( \(\frac{5}{12}\): \(\frac{11}{6}\)+ \(\frac{5}{12}\): \(\frac{11}{5}\)) - \(\frac{-7}{12}\)

d, \(\frac{-5}{9}\)+ \(\frac{14}{9}\).  ( \(\frac{3}{4}\)- \(\frac{2}{5}\)) : 49

Answer 1

[Quỳnh'ss Ok'ss]

Bài làm

a) \(-\frac{3}{7}+\frac{3}{4}:\frac{3}{14}\)

= \(-\frac{3}{7}+\frac{3}{4}.\frac{14}{3}\)

= \(-\frac{3}{7}+\frac{7}{2}\)

\(=-\frac{7}{14}+\frac{49}{14}\)

\(=\frac{42}{14}=3\)

b) \(5-\frac{7}{39}:\frac{7}{13}+\frac{8}{9}:4\)

\(=5=\frac{7}{39}.\frac{13}{7}+\frac{8}{9}.\frac{1}{4}\)

\(=5-\frac{1}{3}+\frac{2}{9}\)

\(=\frac{45}{9}-\frac{3}{9}+\frac{2}{9}\)

\(=\frac{44}{9}\)

c) \(\left(\frac{5}{12}:\frac{11}{6}+\frac{5}{12}:\frac{11}{5}\right)-\frac{-7}{12}\)

\(=\left(\frac{5}{12}.\frac{6}{11}+\frac{5}{12}.\frac{5}{11}\right)+\frac{7}{12}\)

\(=\left[\frac{5}{12}\left(\frac{6}{11}+\frac{5}{11}\right)\right]+\frac{7}{12}\)

\(=\frac{5}{12}+\frac{7}{12}\)

\(=\frac{12}{12}=1\)

d) \(-\frac{5}{9}+\frac{14}{9}\left(\frac{3}{4}-\frac{2}{5}\right):49\)

\(=-\frac{5}{9}+\frac{14}{9}\left(\frac{15}{20}-\frac{8}{20}\right):49\)

\(=-\frac{5}{9}+\frac{14}{9}.\frac{7}{20}.\frac{1}{49}\)

\(=-\frac{5}{9}+\frac{7}{9}.\frac{7}{10}.\frac{1}{7.7}\)

\(=-\frac{5}{9}+\frac{1}{90}\)

\(=-\frac{50}{90}+\frac{1}{90}=-\frac{49}{90}\)