1. Thực hiện phép tính: 15 15 15 6x16 + 16x26 + 26x36 A= 33 63 93 6x16 - 16x26 + 26x36
Chú ý: dấu '+;-' được đặt ở giữa đấu gạch ngang
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\(1\dfrac{14}{15}-\dfrac{5}{17}-\dfrac{12}{17}-\dfrac{14}{15}\\ =\left(1\dfrac{14}{15}-\dfrac{14}{15}\right)-\left(\dfrac{5}{17}+\dfrac{12}{17}\right)\\ =\left[1+\left(\dfrac{14}{15}-\dfrac{14}{15}\right)\right]-1=1-1=0\)
`4 / 15 . 1 / 3 . 15 / 20`
`= [ 4 . 1 . 15 ] / [ 15 . 3 . 20 ]`
`= [ 4 . 1 . 15 ] / [ 15 . 3 . 4 . 5 ]`
`= 1 / [ 3 . 5 ]`
`= 1 / 15`
\(\left(-3,2\right).\left(\frac{-15}{64}\right)+\left(0,8-2\frac{4}{15}\right):3\frac{1}{2}\)
đúng đề bài này ko
\(\left(-3,2\right).\left(\frac{-15}{64}\right)+\left(0,8-2\frac{4}{15}\right):3\frac{1}{2}\)
\(=\frac{-16}{5}.\left(\frac{-15}{64}\right)+\left(\frac{4}{5}-\frac{34}{15}\right):\frac{7}{2}\)
\(=\frac{3}{4}+\left(\frac{-22}{15}\right):\frac{7}{2}\)
\(=\frac{3}{4}-\frac{44}{105}\)
\(=\frac{139}{420}\)
\(\frac{3}{5}:\left(-\frac{1}{15}-\frac{1}{6}\right)+\frac{3}{5}:\left(-\frac{1}{3}-\frac{16}{15}\right)\)
\(=\frac{3}{5}:\left(-\frac{7}{30}\right)+\frac{3}{5}:\left(-\frac{7}{5}\right)\)
\(=\frac{3}{5}.\left(-\frac{30}{7}\right)+\frac{3}{5}.\left(-\frac{5}{7}\right)\)
\(=\frac{3}{5}\left(-\frac{30}{7}-\frac{5}{7}\right)\)
\(=\frac{3}{5}.\left(-\frac{35}{7}\right)\)
\(=-3\)
[(-4) . 6 - (15 - 11)2] - [(-15) : 3]3
= [-24 - 4 . 2] - (-5) . 3
= [-24 - 8] - (-15)
= -32 + 15
= -16
\(B=\dfrac{13}{15}\cdot0,15\cdot3+\left(\dfrac{8}{15}-1\dfrac{19}{60}\right):\left(1\dfrac{23}{24}\right)\)
\(=\dfrac{13}{15}\cdot\dfrac{15}{100}\cdot3+\left(\dfrac{32}{60}-1-\dfrac{19}{60}\right):\dfrac{47}{24}\)
\(=\dfrac{39}{100}+\dfrac{-47}{60}\cdot\dfrac{24}{47}\)
\(=\dfrac{39}{100}-\dfrac{24}{60}=\dfrac{39}{100}-\dfrac{40}{100}=-\dfrac{1}{100}\)
\(=\dfrac{3}{5}+\dfrac{2}{5}\cdot\dfrac{5}{6}=\dfrac{3}{5}+\dfrac{1}{3}=\dfrac{9}{15}+\dfrac{5}{15}=\dfrac{14}{15}\)
\(\left[32-\left(-15\right)\right]+\left[-12-45\right]-\left[15+\left(-41\right)-12\right]\)
\(=32+15-12-45-15+41+12\)
\(=32-45+41+\left(15-15\right)+\left(12-12\right)\)
\(=28\)