Question

[trần bảo ngọc]

1 a.(7/8-0,5):(5/6:0,75)² b.(-0,75)-[(-2)+3/2]:1,5+-5/4 c.3/7x8/3-3/7x3/2 d.53/4 :(-4/7)-69/4:(-4/7) e. 100/123 : (3/4 +7/12)+23/123:(9/5 -7/17)

giúp tớ với ạ

Answer 1

[trần bảo ngọc]

@Nguyễn Thị Thương Hoài giúp e với ạ

Answer 2

[Nguyễn Lê Phước Thịnh]

a: \(\left(\dfrac{7}{8}-0,5\right):\left(\dfrac{5}{6}:0,75\right)^2\)

\(=\dfrac{3}{8}:\left(\dfrac{5}{6}:\dfrac{3}{4}\right)^2\)

\(=\dfrac{3}{8}:\left(\dfrac{5}{6}\cdot\dfrac{4}{3}\right)^2\)

\(=\dfrac{3}{8}:\left(\dfrac{10}{9}\right)^2=\dfrac{3}{8}:\dfrac{100}{81}=\dfrac{3}{8}\cdot\dfrac{81}{100}=\dfrac{243}{800}\)

b: \(\left(-0,75\right)-\left[-2+\dfrac{3}{2}\right]:1,5+\dfrac{-5}{4}\)

\(=-2-\dfrac{\left[-2+1,5\right]}{1,5}\)

\(=-2+\dfrac{0,5}{1,5}=-2+\dfrac{1}{3}=-\dfrac{5}{3}\)

c: \(\dfrac{3}{7}\cdot\dfrac{8}{3}-\dfrac{3}{7}\cdot\dfrac{3}{2}\)

\(=\dfrac{3}{7}\left(\dfrac{8}{3}-\dfrac{3}{2}\right)\)

\(=\dfrac{3}{7}\cdot\dfrac{7}{6}=\dfrac{3}{6}=\dfrac{1}{2}\)

d: \(\dfrac{53}{4}:\left(-\dfrac{4}{7}\right)-\dfrac{69}{4}:\left(-\dfrac{4}{7}\right)\)

\(=\left(\dfrac{53}{4}-\dfrac{69}{4}\right):\dfrac{-4}{7}\)

\(=\dfrac{-16}{4}\cdot\dfrac{7}{-4}=7\)

e: \(\dfrac{100}{123}:\left(\dfrac{3}{4}+\dfrac{7}{12}\right)+\dfrac{23}{123}:\left(\dfrac{9}{5}-\dfrac{7}{17}\right)\)

\(=\dfrac{100}{123}:\left(\dfrac{9}{12}+\dfrac{7}{12}\right)+\dfrac{23}{123}:\left(\dfrac{153}{85}-\dfrac{35}{85}\right)\)

\(=\dfrac{100}{123}\cdot\dfrac{12}{16}+\dfrac{23}{123}\cdot\dfrac{85}{118}\)

\(=\dfrac{75}{123}+\dfrac{1955}{123\cdot118}=\dfrac{75\cdot118+1955}{123\cdot118}=\dfrac{10805}{14514}\)