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Tính bằng cách thuận tiện nhất
a,5*12*3*7/3*8*7*5
b, 2*5*4*6/4*3*5*7
Làm nhanh nha , mình đang cần gấp
a)
\(\frac{5.12.3.7}{3.8.7.5}=\frac{1.12.1.1}{1.8.1.10}=\frac{12}{8}=\frac{3}{2}\)
b)
\(\frac{2.5.4.6}{4.3.5.7}\frac{2.1.1.2.3}{1.1.1.7}=\frac{12}{7}\)
HOK TỐT!
a,\(60\times\left(\frac{7}{12}+\frac{4}{15}\right)\)\(=\frac{60\times7}{12}+\frac{60\times4}{15}\)
\(=\frac{12\times5\times7}{12}+\frac{15\times4\times4}{15}\)
\(=5\times7+4\times4\)
\(=35+16\)
\(=51\)
b, \(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{8}{9}\)\(=\frac{1\times2\times3\times4\times5\times6\times7\times8}{2\times3\times4\times5\times6\times7\times8\times9}\)
\(=\frac{1}{9}\)
`(1 xx 2 xx 3 xx 4)/(3 xx 4 xx 5 xx 6)`
`= (1 xx 2)/(5 xx 6)`
`= 2/12`
`= 1/6`
\(a.60\times\left(\frac{7}{12}+\frac{4}{15}\right)\)
\(=60\times\left(\frac{35}{60}+\frac{16}{60}\right)\)
\(=60\times\frac{51}{60}\)
\(=51\)
\(b.\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\times\frac{6}{7}\times\frac{7}{8}\times\frac{8}{9}\)
\(=\frac{1\times2\times3\times4\times5\times6\times7\times8}{2\times3\times4\times5\times6\times7\times8\times9}\)
\(=\frac{1}{9}\)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12
= ( 1 + 12 ) + ( 2 + 11 ) + ( 3 + 10 ) + ( 4 + 9 ) + ( 5 + 8 ) + ( 6 + 7 )
= 13 + 13 + 13 + 13 + 13 + 13
= 13 x 6
= 78
sai thui
\(2018\times\frac{3}{4}+2018\times\frac{1}{4}-2018\)
\(=2018\times\left(\frac{3}{4}+\frac{1}{4}-1\right)\)
\(=2018\times0=0\)
B-a:tương tự bài A
b,\(\frac{14}{18}\times\frac{8}{5}-\frac{7}{9}\times\frac{3}{5}\)
\(=\frac{7}{9}\times\frac{8}{5}-\frac{7}{9}\times\frac{3}{5}\)
\(=\frac{7}{9}\times\left(\frac{8}{5}-\frac{3}{5}\right)\)
\(=\frac{7}{9}\times1=\frac{7}{9}\)\
thanks
B-a,\(\frac{3\times125+3\times125}{6\times43+6\times57}=\frac{2\times3\times125}{6\times\left(43+57\right)}\)
\(=\frac{3\times250}{6\times100}=\frac{5}{2\times2}=\frac{5}{4}\)
thanks
\(\frac{3}{4}x\frac{4}{5}:\frac{3}{5}x\frac{6}{7}:\frac{1}{7}x\frac{5}{6}\)\(=\)\(\frac{3}{4}x\frac{4}{5}x\frac{5}{3}x\frac{6}{7}x\frac{7}{1}x\frac{5}{6}\)\(=\)\(\frac{3x4x5x6x7x5}{4x5x3x7x1x6}\)\(=\)\(\frac{\left(3\right)x\left(4\right)x\left(5\right)x\left(6\right)x\left(7\right)x5}{\left(3\right)x\left(4\right)x\left(5\right)x\left(6\right)x\left(7\right)x1}\)\(=\)\(\frac{5}{1}\)\(=\)\(5\).
a) \(\dfrac{15}{8}+\dfrac{1}{4}+\dfrac{5}{8}\)
\(=\left(\dfrac{15}{8}+\dfrac{5}{8}\right)+\dfrac{1}{4}\)
\(=\dfrac{10}{4}+\dfrac{1}{4}\)
\(=\dfrac{11}{4}\)
b) \(\dfrac{3}{4}+\dfrac{5}{6}+\dfrac{4}{3}+\dfrac{6}{5}\)
\(=\left(\dfrac{3}{4}+\dfrac{6}{5}\right)+\left(\dfrac{5}{6}+\dfrac{4}{3}\right)\)
\(=\left(\dfrac{15}{20}+\dfrac{24}{20}\right)+\left(\dfrac{5}{6}+\dfrac{8}{6}\right)\)
\(=\dfrac{39}{20}+\dfrac{13}{6}\)
\(=\dfrac{117}{60}+\dfrac{130}{60}\)
\(=\dfrac{247}{60}\)