a. -5/7×2/11+ -5/7×9/11+12/7
b.-4/5×1/2+ -4/5×1/3- -4/5÷1/4
c.1/4+3/4×(-1/2+2/3
d.2/5-3/4-1/2
e.7/2- 50/100
f.8/15× -9/14+8/15× -5/14
g.-3/7+5/13+ -4/7
h.146/13 – (18/7 + 68/13
a. -5/7×2/11+ -5/7×9/11+12/7 b.-4/5×1/2+ -4/5×1/3- -4/5÷1/4 c.1/4+3/4×(-1/2+2/3 d.2/5-3/4-1/2 e.7/2- 50/100 f.8/15× -9/14+8/15× -5/14 g.-3/7+5/13+ -4/
By Sadie
a. `-5/7 × 2/11 + -5/7 × 9/11 + 12/7`
`= -5/7 . ( 2/11 + 9/11 ) + 12/7`
`= -5/7 . 1 + 12/7`
`= -5/7 + 12/7`
`= 7/7 = 1`
b. `-4/5 × 1/2 + -4/5 × 1/3- (-4/5) : 1/4`
`= -4/5 × 1/2 + -4/5 × 1/3 + 4/5 : 1/4`
`= -4/5 . ( 1/2 + 1/3 : 1/4 )`
`= -4/5 . ( 6/12 + 4/12 : 3/12 )`
`= -4/5 . ( 6/12 + 4/12 . 12/3 )`
`= -4/5 . ( 6/12 + 4/3 )`
`= -4/5 . ( 6/12 + 16/12 )`
`= -4/5 . 22/12`
`= -4/5 . 11/6`
`= -44/30`
`= -22/15`
c. `1/4 + 3/4 × ( -1/2 + 2/3 )`
`= 1/4 + 3/4 . ( -3/6 + 4/6 )`
`= 1/4 + 3/4 . 1/4`
`= 1/4 + 3/16`
`= 4/16 + 3/16`
`= 7/16`
d. `2/5 – 3/4 – 1/2`
`= 4/20 – 15/20 – 10/20`
`= -21/10`
e. `7/2 – 50/100`
`= 350/100 – 50/100`
`= 300/100`
`= 3/1 = 3`
f. `8/15 × -9/14 + 8/15 × -5/14`
`= 8/15 . ( -9/14 + -5/14 )`
`= 8/15 . ( -1 )`
`= -8/15`
g.` -3/7 + 5/13 + -4/7`
`= ( -3/7 + -4/7 ) + 5/13`
`= -1 + 5/13`
`= -13/13 + 5/13`
`= -8/13`
h. `146/13 – (18/7 + 68/13)`
`= 146/13 – 18/7 – 68/13`
`= ( 146/13 – 68/13 ) – 18/7`
`= 78/13 – 18/7`
`= 546/91 – 234/91`
`= 312/91`
a, $\frac{-5}{7}$ x $\frac{2}{11}$ + $\frac{-5}{7}$ x $\frac{9}{11}$ + $\frac{12}{7}$
= $\frac{-5}{7}$ x ($\frac{2}{11}$ + $\frac{9}{11}$) + $\frac{12}{7}$
= $\frac{-5}{7}$ x 1 + $\frac{12}{7}$
= $\frac{-5}{7}$ + $\frac{12}{7}$
= $\frac{7}{7}$
= 1
b, $\frac{-4}{5}$ x $\frac{1}{2}$ + $\frac{-4}{5}$ x $\frac{1}{3}$ – $\frac{-4}{5}$ : $\frac{1}{4}$
= $\frac{-4}{5}$ x $\frac{1}{2}$ + $\frac{-4}{5}$ x $\frac{1}{3}$ – $\frac{-4}{5}$ x 4
= $\frac{-4}{5}$ x ($\frac{1}{2}$ + $\frac{1}{3}$ – 4)
= $\frac{-4}{5}$ x $\frac{-19}{6}$
= $\frac{38}{15}$
c, $\frac{1}{4}$ + $\frac{3}{4}$ x (-$\frac{1}{2}$ + $\frac{2}{3}$)
= $\frac{1}{4}$ + $\frac{3}{4}$ x ($\frac{-3}{6}$ + $\frac{4}{6}$)
= $\frac{1}{4}$ + $\frac{3}{4}$ x $\frac{1}{6}$
= $\frac{1}{4}$ + $\frac{1}{8}$
= $\frac{2}{8}$ + $\frac{1}{8}$
= $\frac{3}{8}$
d, $\frac{2}{5}$ – $\frac{3}{4}$ – $\frac{1}{2}$
= $\frac{8}{20}$ – $\frac{15}{20}$ – $\frac{10}{20}$
= -$\frac{17}{20}$
e, $\frac{7}{2}$ – $\frac{50}{100}$
= $\frac{7}{2}$ – $\frac{1}{2}$
= $\frac{6}{2}$
= 3
f, $\frac{8}{15}$ x $\frac{-9}{14}$ + $\frac{8}{15}$ x $\frac{-5}{14}$
= $\frac{8}{15}$ x ($\frac{-9}{14}$ – $\frac{5}{14}$)
= $\frac{8}{15}$ x (-1)
= -$\frac{8}{15}$
g, $\frac{-3}{7}$ + $\frac{5}{13}$ – $\frac{4}{7}$
= ($\frac{-3}{7}$ – $\frac{4}{7}$) + $\frac{5}{13}$
= -1 + $\frac{5}{13}$
= -1$\frac{5}{13}$
= $\frac{-8}{13}$
h, $\frac{146}{13}$ – ($\frac{18}{7}$ + $\frac{68}{13}$)
= $\frac{146}{13}$ – $\frac{18}{7}$ – $\frac{68}{13}$
= ($\frac{146}{13}$ – $\frac{68}{13}$) – $\frac{18}{7}$
= 6 – $\frac{18}{7}$
= $\frac{42}{7}$ – $\frac{18}{7}$
= $\frac{24}{7}$
(Cho mk ctlhn nha, thanks ^.^
Chúc bạn học tốt !!!)