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\(a)\dfrac{8}{5}+\dfrac{7}{6}+\dfrac{5}{9}+2\)
\(\text{=}\dfrac{144}{90}+\dfrac{105}{90}+\dfrac{50}{90}+\dfrac{180}{90}\)
\(\text{=}\dfrac{144+105+50+180}{90}\)
\(\text{=}\dfrac{497}{90}\)
\(b)3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{32}{24}\)
\(\text{=}3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{4}{3}\)
\(\text{=}\dfrac{54-15-8+24}{48}\text{=}\dfrac{55}{48}\)
\(a,\dfrac{1}{12}\times\dfrac{4}{5}=\dfrac{1\times4}{12\times5}=\dfrac{1}{15}\)
\(b,\dfrac{40}{7}\times\dfrac{21}{5}=\dfrac{40\times21}{7\times5}=\dfrac{24}{1}=24\)
\(c,\dfrac{9}{5}\div\dfrac{4}{7}=\dfrac{9}{5}\times\dfrac{7}{4}=\dfrac{9\times7}{5\times4}=\dfrac{63}{20}\)
\(d,\dfrac{11}{24}\div\dfrac{44}{3}=\dfrac{11}{24}\times\dfrac{3}{44}=\dfrac{11\times3}{24\times44}=\dfrac{1}{32}\)
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số chia hết cho 2,3,4,5,6,7 là :
2x3x4x5x6x7=2340
Vậy số chia cho 2 dư 1,chia 2 dư 3,chia 3 dư 4,chia 4 dư 3, chia 5 dư 4,chia chia 6 dư 5 chia 7 dư 6 là:
2340-1=2339
Đ/S: 2339
Ta có:
4/5 = 4×8/5×8 = 32/40
4/6 = 4×8/6×8 = 32/48
Vậy 7 phân số vừa < 4/5 vừa > 4/6 là: 32/41; 32/42; 32/43; 32/44; 32/45; 32/46; 32/47
Rút gọn các phân số đó ta được 7 phân số thỏa mãn đề bài là: 32/41; 16/21; 32/43; 16/22; 32/45; 16/23; 32/47
ta có
\(\frac{4}{5}=\frac{28}{35}\)
\(\frac{4}{6}=\frac{28}{42}\)
vậy 7 phân số đó là:
\(\frac{28}{36};\frac{28}{37};\frac{28}{38};\frac{28}{39};\frac{28}{40};\frac{28}{41};\frac{28}{42}\)
( x + 4/3 ) x 7/4 = 5 - 7/6
( x + 4/3 ) x 7/4 = 23/6
x + 4/3 = 23/6 : 7/4
x + 4/3 = 46/21
x = 46/21 - 4/3
x = 6/7
\(\left(x+\frac{4}{3}\right).\frac{7}{4}=5-\frac{7}{6}\)
\(\Leftrightarrow\left(x+\frac{4}{3}\right).\frac{7}{4}=\frac{23}{6}\)
\(\Leftrightarrow x+\frac{4}{3}=\frac{46}{21}\)
\(\Leftrightarrow x=\frac{18}{21}\)
\(\left(\frac{3}{5}-x\right)+\frac{13}{20}=\frac{5}{6}\)
\(\frac{3}{5}-x=\frac{5}{6}-\frac{13}{20}\)
\(\frac{3}{5}-x=\frac{11}{60}\)
\(x=\frac{3}{5}-\frac{11}{60}\)
\(x=\frac{5}{12}\)
\(\left(x-\frac{1}{2}\right)\cdot\frac{5}{3}=\frac{7}{4}-\frac{1}{2}\)
\(\left(x-\frac{1}{2}\right)\cdot\frac{5}{3}=\frac{5}{4}\)
\(x-\frac{1}{2}=\frac{5}{4}:\frac{5}{3}\)
\(x-\frac{1}{2}=\frac{3}{4}\)
\(x=\frac{3}{4}+\frac{1}{2}\)
\(x=\frac{5}{4}\)
( 3/5 - x ) + 13/20 = 5/6
3/5 - x = 5/6 - 13/20
3/5 - x = 89/60
x = 3/5 - 89/60
x = 25/12
( x - 1/2 ) x 5/3 = 7/4 - 1/2
( x - 1/2 ) x 5/3 = 5/4
x - 1/2 = 5/4 : 5/3
x - 1/2 = 35/12
x = 35/12 + 1/2
x = 41/12
1 / 5 + x = 3 / 7 + 1 / 3
1 / 5 + x = 16 /21
x = 16 / 21 - 1 / 5
x = 59 / 105
x - 1 / 2 = 2 / 3 - 1 / 5
x - 1 / 2 = 7 / 15
x = 7 / 15 + 1 / 2
x = 29 / 30
3 / 5 * x = 2 / 7+ 1 / 4
3 / 5 * x = 15 / 28
x = 15 / 28 : 3 / 5
x = 25 / 28
7 / 8 : x = 1 / 6 * 2 / 3
7 / 8 : x = 1 / 9
x = 7 / 8 : 1 / 9
x = 63 / 8
\(x+\frac{5}{6}=4.\frac{5}{12}\)
=>\(x+\frac{5}{6}=\frac{5}{3}\)
=>\(x=\frac{5}{3}-\frac{5}{6}\)
=>\(x=\frac{5}{6}\)
\(x.\frac{5}{4}=2-\frac{4}{7}\)
=>\(x.\frac{5}{4}=\frac{10}{7}\)
=>\(x=\frac{10}{7}:\frac{5}{4}\)
=>\(x=\frac{8}{7}\)