Bài 1. Tính bằng cách thuận tiện nhất : 15/8 : 5/20 - 7/8 : 1/4
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1/3+1/4+1/5+8/10+15/20+20/30
= 1/3+1/4+1/5+4/5+3/4+2/3
= (1/3+2/3)+(1/4+3/4)+(1/5+4/5)
= 1 + 1 + 1
=3
a) \(\dfrac{3}{5}\times\dfrac{17}{21}+\dfrac{17}{21}\times\dfrac{2}{5}\)
\(=\dfrac{17}{21}\times\left(\dfrac{3}{5}+\dfrac{2}{5}\right)\)
\(=\dfrac{17}{21}\times1\)
\(=\dfrac{17}{21}\)
b) \(\dfrac{15}{8}:\dfrac{5}{20}-\dfrac{7}{8}:\dfrac{1}{4}\)
\(=\dfrac{15}{8}\times\dfrac{20}{5}-\dfrac{7}{8}\times4\)
\(=\dfrac{15}{8}\times4-\dfrac{7}{8}\times4\)
\(=4\times\left(\dfrac{15}{8}-\dfrac{7}{8}\right)\)
\(=4\times1\)
\(=4\)
Bài 2
a.8/15+7/4+7/15+5/4
=8/15+7/15+7/4+5/4
=15/15+12/4
=1+3
=4
b.98,54-(41,82-35,72)
=98,54-6,1
=92,44
8/15 + 7/4 + 7/15 + 5/4
= 8/15 + 7/15 + 7/4 +5/4
= ( 8/15 + 7/15) + ( 7/4 + 5/4)
= 15/15 + 12/4
= 1 + 3
=4
mỗi một dòng cuối câu vẫn phải viết thêm `
vd:
`3xx4/15-2xx4/15-5xx4/15`
`=4/15xx(3-2-5)`
`=4/15xx-4`
`=-16/15`
\(\left(\dfrac{2}{7}+\dfrac{5}{7}\right)+\left(\dfrac{3}{5}+\dfrac{2}{5}\right)+\left(\dfrac{3}{8}+\dfrac{4}{8}+\dfrac{1}{8}\right)+\left(\dfrac{1}{9}+\dfrac{8}{9}\right)=1+1+1+1=4\)
`1/10+2/20+3/30+4/40+5/50+6/60+7/70+8/80+9/90`
`=1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10`
`=1/10xx9`
`=9/10`
\(\dfrac{15}{8}\) : \(\dfrac{5}{20}\) - \(\dfrac{7}{8}\) : \(\dfrac{1}{4}\)
= \(\dfrac{15}{8}\) : \(\dfrac{1}{4}\) - \(\dfrac{7}{8}\) : \(\dfrac{1}{4}\)
= ( \(\dfrac{15}{8}\) - \(\dfrac{7}{8}\)) : \(\dfrac{1}{4}\)
= \(\dfrac{8}{8}\) \(\times\) 4
= 4