Tính Nhanh : 7 nhân 4 + 6 nhân 7+ 19 nhân 7 +7
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a: =35/17-18/17-9/5+4/5
=1-1=0
b: =-7/19(3/17+8/11-1)
=7/19*18/187=126/3553
c: =26/15-11/15-17/3-6/13
=1-6/13-17/3
=7/13-17/3=-200/39
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\(\frac{4}{5}.\frac{3}{7}+\frac{4}{5}.\frac{6}{7}-\frac{4}{5}.\frac{4}{14}\)
\(=\frac{4}{5}.\left(\frac{3}{7}+\frac{6}{7}-\frac{4}{14}\right)\)
\(=\frac{4}{5}.1\)
\(=\frac{4}{5}\)
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`4 / 7 xx [-5] / 6 xx 7 / 4 xx 12 / 5`
`= [ 4 xx (-5) xx 7 xx 12 ] / [ 7 xx 6 xx 4 xx 5 ]`
`= [ 4 xx (-5) xx 7 xx 6 xx 2 ] / [ 7 xx 6 xx 4 xx 5 ]`
`= -2`
4/7 × -5/7 × 7/4 ×12/5
=> -10/21 × 42/10
=> -420/210
=> -42/21
Đáp số: -42/21
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\(\frac{7}{19}\times\frac{1}{3}+\frac{7}{19}\times\frac{2}{3}\)
\(=\frac{7}{19}\times\left(\frac{1}{3}+\frac{2}{3}\right)\)
\(=\frac{7}{19}\times1\)
\(=\frac{7}{19}\)
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\(\frac{4}{7}.\frac{5}{36}.\frac{21}{25}\)
\(=\frac{4.5.21}{7.36.25}\)
\(=\frac{4.5.7.3}{7.4.9.5.5}\)
\(=\frac{3}{9.5}=\frac{3}{3.3.5}=\frac{1}{15}\)
\(\frac{25}{28}:\frac{15}{14}.\frac{6}{7}\)
\(=\frac{25.14.6}{28.15.7}\)
\(=\frac{5.5.14.6}{28.5.3.7}\)
\(=\frac{5.6}{2.3.7}=\frac{5.2.3}{2.3.7}\)
\(=\frac{5}{7}\)
7 x 4+ 6 x7 + 19 x 7 + 7= 7x ( 4+ 6+ 19+ 1)= 7 x30 = 210
7x4+6x7+19x7+7
=7x(4+6)+7x(19+1)
=7x10+7x20
=70+140=210