G=14⋅7+14⋅9+15⋅11+16⋅11+16⋅13+17⋅13cap G equals one-fourth center dot 7 plus one-fourth center dot 9 plus one-fifth center dot 11 plus one-sixth center dot 11 plus one-sixth center dot 13 plus one-seventh center dot 13 Giải 1 Thực hiện phép nhân G=14⋅7+14⋅9+15⋅11+16⋅11+16⋅13+17⋅13cap G equals one-fourth center dot 7 plus one-fourth center dot 9 plus one-fifth center dot 11 plus one-sixth center dot 11 plus one-sixth center dot 13 plus one-seventh center dot 13 G=74+14⋅9+15⋅11+16⋅11+16⋅13+17⋅13cap G equals seven-fourths plus one-fourth center dot 9 plus one-fifth center dot 11 plus one-sixth center dot 11 plus one-sixth center dot 13 plus one-seventh center dot 13 2 Thực hiện phép nhân G=74+14⋅9+15⋅11+16⋅11+16⋅13+17⋅13cap G equals seven-fourths plus one-fourth center dot 9 plus one-fifth center dot 11 plus one-sixth center dot 11 plus one-sixth center dot 13 plus one-seventh center dot 13 G=74+94+15⋅11+16⋅11+16⋅13+17⋅13cap G equals seven-fourths plus nine-fourths plus one-fifth center dot 11 plus one-sixth center dot 11 plus one-sixth center dot 13 plus one-seventh center dot 13 3 Thực hiện phép nhân G=74+94+15⋅11+16⋅11+16⋅13+17⋅13cap G equals seven-fourths plus nine-fourths plus one-fifth center dot 11 plus one-sixth center dot 11 plus one-sixth center dot 13 plus one-seventh center dot 13 G=74+94+115+16⋅11+16⋅13+17⋅13cap G equals seven-fourths plus nine-fourths plus eleven-fifths plus one-sixth center dot 11 plus one-sixth center dot 13 plus one-seventh center dot 13 4 Thực hiện phép nhân G=74+94+115+16⋅11+16⋅13+17⋅13cap G equals seven-fourths plus nine-fourths plus eleven-fifths plus one-sixth center dot 11 plus one-sixth center dot 13 plus one-seventh center dot 13 G=74+94+115+116+16⋅13+17⋅13cap G equals seven-fourths plus nine-fourths plus eleven-fifths plus eleven-sixths plus one-sixth center dot 13 plus one-seventh center dot 13 5 Thực hiện phép nhân G=74+94+115+116+16⋅13+17⋅13cap G equals seven-fourths plus nine-fourths plus eleven-fifths plus eleven-sixths plus one-sixth center dot 13 plus one-seventh center dot 13 G=74+94+115+116+136+17⋅13cap G equals seven-fourths plus nine-fourths plus eleven-fifths plus eleven-sixths plus thirteen-sixths plus one-seventh center dot 13 6 Thực hiện phép nhân G=74+94+115+116+136+17⋅13cap G equals seven-fourths plus nine-fourths plus eleven-fifths plus eleven-sixths plus thirteen-sixths plus one-seventh center dot 13 G=74+94+115+116+136+137cap G equals seven-fourths plus nine-fourths plus eleven-fifths plus eleven-sixths plus thirteen-sixths plus thirteen-sevenths 7 Thực hiện phép cộng G=74+94+115+116+136+137cap G equals seven-fourths plus nine-fourths plus eleven-fifths plus eleven-sixths plus thirteen-sixths plus thirteen-sevenths G=42235cap G equals 422 over 35 end fraction Ẩn bớt Đáp án G=42235cap G equals 422 over 35 end fraction Dạng thức khác
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\(d,\dfrac{1}{2}+\dfrac{4}{3}=\dfrac{3}{6}+\dfrac{8}{6}=\dfrac{3+8}{6}=\dfrac{11}{6}\)
\(e,\dfrac{6}{7}+\dfrac{11}{4}=\dfrac{24}{28}+\dfrac{77}{28}=\dfrac{24+77}{28}=\dfrac{101}{28}\)
\(g,\dfrac{9}{5}+\dfrac{7}{4}=\dfrac{36}{20}+\dfrac{35}{20}=\dfrac{36+35}{20}=\dfrac{71}{20}\)
\(h,\dfrac{2}{8}+\dfrac{1}{4}=\dfrac{2}{8}+\dfrac{2}{8}=\dfrac{2+2}{8}=\dfrac{4}{8}=\dfrac{1}{2}\)
\(i,\dfrac{3}{20}+\dfrac{2}{5}=\dfrac{3}{20}+\dfrac{8}{20}=\dfrac{3+8}{20}=\dfrac{11}{20}\)
\(k,\dfrac{6}{35}+\dfrac{2}{7}=\dfrac{6}{35}+\dfrac{10}{35}=\dfrac{6+10}{35}=\dfrac{16}{35}\)
Số số hạng của dãy số là:
(17-1) :1 + 1 = 17 (số hạng)
Tổng của dãy số là:
(1+17) x 17 : 2 = 153
Đáp số: 153
`a, 4/9 + 2/5 + 5/9= (4/9 +5/9) + 2/5= 1 + 2/5= 5/5 + 2/5= 7/5`
`b, 6/13 + 5/8 + 7/13=(6/13 + 7/13) + 5/8=1+5/8= 8/8 + 5/8= 13/8`
`c, 5/11 + 6/25 + 66/121 = ( 5/11 + 66/121 ) + 6/25=1 + 6/25 = 25/25 + 6/25 = 31/25`
`d, 1/2 + 1/3 + 1/4 + 1/6 + 1/12 + 1/24= (1/2 + 1/4) +(1/3 + 1/6) + (1/12 + 1/24)= 3/4 + 1/2 + 1/8= 6/8 + 4/8 + 1/8= 11/8`
`@ yl`
\(\dfrac{7}{6}\) + \(\dfrac{5}{12}\) - \(\dfrac{1}{18}\) - 1
= \(\dfrac{42}{36}\) + \(\dfrac{15}{36}\) - \(\dfrac{2}{36}\) - \(\dfrac{36}{36}\)
= \(\dfrac{19}{36}\)
\(\dfrac{13}{6}\) + \(\dfrac{5}{18}+3-\dfrac{7}{12}\)
= \(\dfrac{78}{36}+\dfrac{10}{36}+\dfrac{108}{36}-\dfrac{21}{36}\)
= \(\dfrac{175}{36}\)
3 + \(\dfrac{11}{4}-\dfrac{1}{12}-\dfrac{3}{16}\)
= \(\dfrac{144}{48}+\dfrac{132}{48}-\dfrac{4}{48}-\dfrac{9}{48}\)
= \(\dfrac{263}{48}\)
\(\dfrac{2}{5}\) x \(\dfrac{7}{4}\) - \(\dfrac{2}{5}\) x \(\dfrac{3}{4}\)
= \(\dfrac{2}{5}\) x ( \(\dfrac{7}{4}\) - \(\dfrac{3}{4}\))
= \(\dfrac{2}{5}\) x \(\dfrac{4}{4}\)
= \(\dfrac{2}{5}\)
2/5 + 11/15 = 17/15
7/8 - 7/9 = 7/72
11/13 x 26/31 = 22/31
16/24 : 4 = 1/6
30 : 6/5 = 25
9/16 : 4 = 9/64
1/2 : 1/3 x 8/15 = 3/2 x 8/15 = 4/5
a) \(1678\cdot24+77\cdot1678-1678=1678\left(24+77-1\right)=167800\)
b) Ta có: \(\dfrac{2}{5}+\dfrac{4}{11}+\dfrac{3}{5}+\dfrac{18}{11}+\dfrac{1}{4}+\dfrac{1}{6}\)
\(=\left(\dfrac{2}{5}+\dfrac{3}{5}\right)+\left(\dfrac{4}{11}+\dfrac{18}{11}\right)+\dfrac{1}{4}+\dfrac{1}{6}\)
\(=3+\dfrac{1}{4}+\dfrac{1}{6}\)
\(=\dfrac{36}{12}+\dfrac{3}{12}+\dfrac{2}{12}=\dfrac{41}{12}\)
`4/7+4`
`=4/7+4/1`
`=4/7+28/7`
`=32/7`
__
`3+6/11`
`=33/11+6/11`
`=39/11`
__
`3-5/7`
`=3/1-5/7`
`=21/7-5/7`
`=16/7`
__
`21/9-2`
`=21/9-18/9`
`=3/9`
`=1/3`
__
`15/24+2`
`=15/24+48/24`
`=63/24`
`=21/16`
__
`63/45-20/25`
`=63/45-4/5`
`=63/45-36/45`
`=27/45`
`=9/15`
__
`3/4-2/8`
`=3/4-1/4`
`=2/4`
__
`6/7-5/8`
`=48/56-35/56`
`=13/56`
__
`37/45-5/9`
`=37/45-25/45`
`=12/45`
`=4/15`
__
`46/39-11/13`
`=46/39-33/39`
`=13/39`
`=1/2`
__
`5/12+3/4+1/3`
`=5/12+9/12+4/12`
`=14/12+4/12`
`=18/12`
`=3/2`
__
`1/2+3/7+11/14`
`=7/14+6/14+11/14`
`=13/14+11/14`
`=24/14`
`=12/7`
__
`7/10-(1/5+1/4)`
`=7/10-(4/20+5/20)`
`=7/10-9/20`
`=14/20-9/20`
`=5/20`
`=1/4`
__
`15/4-2/3-3/4`
`=(15/4-3/4)-2/3`
`=12/4-2/3`
`=3-2/3`
`=9/3-2/3`
`=7/3`