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`3/4 xx 8/9 xx 15/16 xx 24/25 xx 35/36`
`= (3xx8xx15xx24xx35)/(4xx9xx16xx25xx36)`
`=(3xx4xx2xx5xx3xx4xx6xx7xx5)/(4xx3xx3xx4xx4xx5xx5xx6xx6)`
`=(2xx7)/(4xx6)`
`=(2xx7)/(2xx2xx6)`
`=7/12`
\(\dfrac{3}{4}\times\dfrac{8}{9}\times\dfrac{15}{16}\times\dfrac{24}{25}\times\dfrac{35}{36}\)
= \(\dfrac{3\times8\times15\times24\times35}{4\times9\times16\times25\times36}\)
= \(\dfrac{3\times\left(2\times4\text{}\text{}\right)\times\left(3\times5\right)\times\left(6\times4\right)\times\left(5\times7\right)}{4\times\left(3\times3\right)\times\left(4\times4\right)\times\left(5\times5\right)\times\left(6\times6\right)}\)
=\(\dfrac{2\text{}\text{}\times3\times6\times\left(5\times7\right)}{3\times4\times5\times\left(6\times6\right)}\)
=\(\dfrac{\text{}\text{}7}{2\times6}\)= \(\dfrac{7}{12}\)
gọi
\(\dfrac{12}{39}=\dfrac{x}{12}=\dfrac{36}{y}\)
có `12/39=x/12`
`=> 12xx12=39x`
`=> 39x=144`
`=> x=48/13`
`12/39=36/y`
`=> 36/117=36/y`
`=> y=117`
`
\(=\dfrac{16\left(48+24+28\right)}{8+8}=48+52=100\)
\(A=\frac{3333}{4545}+\frac{36}{45}+\frac{666666}{454545}\)
\(=\frac{33}{45}+\frac{36}{45}+\frac{66}{45}\)
\(=\frac{69}{45}+\frac{66}{45}\)
\(=3\)
Vậy A = 3
#hoctot
Hai thừa số chênh lệnh nhau là:
63-36=27
Tích đúng là:
33615:27x36=44820
\(\dfrac{12}{16}\times\dfrac{24}{36}+2\)
\(=\dfrac{3}{4}\times\dfrac{2}{3}+2\)
\(=\dfrac{1}{2}+2\)
\(=\dfrac{1}{2}+\dfrac{4}{2}\)
\(=\dfrac{5}{2}\)
\(\dfrac{12}{16}.\dfrac{24}{36}+2=\dfrac{1}{2}+2=\dfrac{5}{2}\)