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a) -15/90= -5/30= -1/6
120/600=1/5
-75/150= -25/50= -1/2
b)3.4+3.7/6.5+9
=3.(4+7)/3.2+3 .3
=11/2+3.3
=11/11=1
6.9-2.17/63.3-11.9
=2.3.3.3-2.17/7.3.3-11.3.3
=2-2.17/7.3-11
= 2-2.17/10
=2-2.17/2.5
=2-17/5
=-15/5=-3
1: Rút gọn
a) \(-\dfrac{33}{51}=\dfrac{-33:3}{51:3}=\dfrac{-11}{17}\)
b) \(\dfrac{156}{-168}=\dfrac{-156}{168}=\dfrac{-156:12}{168:12}=\dfrac{-13}{14}\)
c) \(\dfrac{-75}{-100}=\dfrac{75}{100}=\dfrac{75:25}{100:25}=\dfrac{3}{4}\)
2: Quy đồng mẫu:
a) \(-\dfrac{3}{8}\) và \(\dfrac{5}{4}\)
MSC: 8
\(-\dfrac{3}{8}=\dfrac{-3}{8}\)
\(\dfrac{5}{4}=\dfrac{5\cdot2}{4\cdot2}=\dfrac{10}{8}\)
b) \(\dfrac{-7}{6}\) ; \(\dfrac{5}{12}\) và \(-\dfrac{5}{6}\)
MSC: 12
\(-\dfrac{7}{6}=\dfrac{-7\cdot2}{6\cdot2}=\dfrac{-14}{12}\)
\(\dfrac{5}{12}=\dfrac{5}{12}\)
\(\dfrac{-5}{6}=\dfrac{-5\cdot2}{6\cdot2}=\dfrac{-10}{12}\)
a ) \(-\frac{3}{7}.\frac{3}{11}+-\frac{3}{7}.\frac{8}{11}+1\frac{3}{7}\)
\(=-\frac{3}{7}.\left(\frac{3}{11}+\frac{8}{11}\right)+\frac{10}{7}\)
\(=-\frac{3}{7}.\frac{11}{11}+\frac{10}{7}\)
\(=-\frac{3}{7}.1+\frac{10}{7}\)
\(=\frac{10}{7}\)
b ) \(75\%.10,5=\frac{3}{4}.10,5=7,875\)
c ) \(5-3.\left(\left|-4\right|-30:15\right)\)
\(=5-3.\left(4-2\right)\)
\(=5-3.2\)
\(=5-6\)
\(=-1\)
d ) \(-\frac{5}{7}.\frac{2}{11}+-\frac{5}{7}.\frac{9}{11}+1\frac{5}{7}\)
\(=-\frac{5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{12}{7}\)
\(=-\frac{5}{7}.1+\frac{12}{7}\)
\(=\frac{7}{7}\)
\(=1\)
Chúc bạn học tốt !!!
1.3:
a: \(\dfrac{5}{14}=\dfrac{5\cdot3}{14\cdot3}=\dfrac{15}{42}\)
\(\dfrac{4}{21}=\dfrac{4\cdot2}{21\cdot2}=\dfrac{8}{42}\)
b: \(\dfrac{4}{5}=\dfrac{4\cdot12}{5\cdot12}=\dfrac{48}{60}\)
\(\dfrac{7}{12}=\dfrac{7\cdot5}{12\cdot5}=\dfrac{35}{60}\)
\(\dfrac{8}{5}=\dfrac{8\cdot12}{5\cdot12}=\dfrac{96}{60}\)
1.2:
a: \(21=3\cdot7;36=3^2\cdot2^2\)
=>\(ƯCLN\left(21;36\right)=3>1\)
=>Phân số này chưa tối giản
\(\dfrac{21}{36}=\dfrac{21:3}{36:3}=\dfrac{7}{12}\)
b: \(23=23;73=73\)
=>\(ƯCLN\left(23;73\right)=1\)
=>23/73 là phân số tối giản
1.1:
theo đề ta có: 480⋮a và 720⋮a
=> a = ƯCLN(480,720)
480=2 mũ 5.3.5
720=2 mũ 4.3 mũ 2.5
=> ƯCLN(420,720)= 2 mũ 4.3.5=240
=> a=240
\(a) {4\over12}={4.5\over12.5}={20\over60}\)
\({1\over5}={1.12\over5.12}={12\over60}\)
\({-4\over15}={-4.4\over15.5}={-16\over60}\)
b)\({-7\over10}={-7.3\over10.3}={-21\over20}\)
\({1\over2}={1.15\over2.15}={15\over30}\)
\({-4\over15}={-4.2\over15.2}={-8\over30}\)
c)\({-5\over14}={-5.30\over14.30}={-150\over420}\)
\({3\over20}={3.21\over20.21}={63\over420}\)
\({-4\over21}={-4.20\over21.20}={-80\over420}\)
d)\({4\over18}={4.5\over18.5}={20\over90}\)
\({1\over18}={1.18\over5.18}={18\over90}\)
\({-6\over15}={-6.6\over15.6}={-36\over90}\)
Nói lời giữ lời nha ^_^..........Mệt wá........
a)4/12=1.5/12.5=5/60
1/5=1.12/5.12=5/60
-4/15=-4.4/15.4=-16/60
b)-7/10=-7.3/10.3=-21/30
1/2=1.15/2.15=15/30
-4/15=-4.2/15.2=-8/30
c)-5/14=-5.30/14/30=150/420
3/20=3.21/20.21=63/420
-4/21=-4.20/21.20=-80/420
d)4/18=4.5/18.5=20/90
1/5=1.18/5.18=18/90
-6/15=-6.6/15.6=-36/90
\(=\left(2x+\frac{3}{4}\right)\frac{7}{9}=\frac{15}{8}\)
\(=2x+\frac{3}{4}\)\(=\frac{15}{8}:\frac{7}{9}\)
=\(2x+\frac{3}{4}=\frac{135}{56}\)
=2x=\(\frac{135}{56}-\frac{3}{4}\)
=2x=\(\frac{93}{56}\)
x=\(\frac{93}{56}:2\)
x=\(\frac{93}{112}\)
k nha
\(\frac{x}{8}=\frac{-15}{30}\)
\(\Rightarrow x=\frac{-15.8}{30}\)
\(\Rightarrow x=-4\)
\(\frac{y}{6}=\frac{15}{-45}\)
\(\Rightarrow y=\frac{15.6}{-45}\)
\(\Rightarrow y=-2\)
A) \(\frac{x}{8}=\frac{-15}{30}\)
\(\Leftrightarrow\)\(x=\frac{\left(-15\right).8}{30}=-4\)
Vậy...
B) \(\frac{y}{6}=\frac{15}{-45}\)
\(\Leftrightarrow\)\(y=\frac{15.6}{-45}=-2\)
Vậy....