tính giá trị của biểu thức sau: a) 11 3/13 – (2 4/7+ 5 3/13) b) 4/7+5/6 : 5 – 0,375.(-2)^2 c) 1/4+3/4.(-1/2+2/3) 19/08/2021 Bởi Kinsley tính giá trị của biểu thức sau: a) 11 3/13 – (2 4/7+ 5 3/13) b) 4/7+5/6 : 5 – 0,375.(-2)^2 c) 1/4+3/4.(-1/2+2/3)
Đáp án + Giải thích các bước giải: a) $11\dfrac{3}{13} – \bigg(2\dfrac{4}{7} + 5\dfrac{3}{13}\bigg)\\$ $=11\dfrac{3}{13} – 2\dfrac{4}{7} – 5\dfrac{3}{13}\\$ $=\bigg(11\dfrac{3}{13} – 5\dfrac{3}{13}\bigg) – 2\dfrac{4}{7}\\$ $=6 – 2\dfrac{4}{7}\\$ $=6 – \dfrac{18}{7}\\$ $=\dfrac{24}{7}\\$ b) $\dfrac{4}{7} + \dfrac{5}{6} : 5 – 0,375 . (-2)^2$ $=\dfrac{4}{7} + \dfrac{5}{6} : 5 – \dfrac{3}{8} . 4\\$ $=\dfrac{4}{7} + \dfrac{1}{6} – \dfrac{3}{2}\\$ $=\dfrac{24}{42} + \dfrac{7}{42} – \dfrac{63}{42}\\$ $=\dfrac{-16}{21}\\$ c) $\dfrac{1}{4} + \dfrac{3}{4} . \bigg(\dfrac{-1}{2} + \dfrac{2}{3}\bigg)\\$ $=\dfrac{1}{4} + \dfrac{3}{4} . \bigg(\dfrac{-3}{6} + \dfrac{4}{6}\bigg)\\$ $=\dfrac{1}{4} + \dfrac{3}{4} . \dfrac{1}{6}\\$ $=\dfrac{1}{4} + \dfrac{1}{8}\\$ $=\dfrac{2}{8} + \dfrac{1}{8}\\$ $=\dfrac{3}{8}$ Bình luận
Đáp án:
Giải thích các bước giải:
Đáp án + Giải thích các bước giải:
a)
$11\dfrac{3}{13} – \bigg(2\dfrac{4}{7} + 5\dfrac{3}{13}\bigg)\\$
$=11\dfrac{3}{13} – 2\dfrac{4}{7} – 5\dfrac{3}{13}\\$
$=\bigg(11\dfrac{3}{13} – 5\dfrac{3}{13}\bigg) – 2\dfrac{4}{7}\\$
$=6 – 2\dfrac{4}{7}\\$
$=6 – \dfrac{18}{7}\\$
$=\dfrac{24}{7}\\$
b)
$\dfrac{4}{7} + \dfrac{5}{6} : 5 – 0,375 . (-2)^2$
$=\dfrac{4}{7} + \dfrac{5}{6} : 5 – \dfrac{3}{8} . 4\\$
$=\dfrac{4}{7} + \dfrac{1}{6} – \dfrac{3}{2}\\$
$=\dfrac{24}{42} + \dfrac{7}{42} – \dfrac{63}{42}\\$
$=\dfrac{-16}{21}\\$
c)
$\dfrac{1}{4} + \dfrac{3}{4} . \bigg(\dfrac{-1}{2} + \dfrac{2}{3}\bigg)\\$
$=\dfrac{1}{4} + \dfrac{3}{4} . \bigg(\dfrac{-3}{6} + \dfrac{4}{6}\bigg)\\$
$=\dfrac{1}{4} + \dfrac{3}{4} . \dfrac{1}{6}\\$
$=\dfrac{1}{4} + \dfrac{1}{8}\\$
$=\dfrac{2}{8} + \dfrac{1}{8}\\$
$=\dfrac{3}{8}$