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\(\dfrac{7}{19}x\dfrac{8}{23}+\dfrac{7}{19}x\dfrac{15}{23}+1\dfrac{7}{19}\)
= \(\dfrac{7}{19}x\left(\dfrac{8}{23}+\dfrac{15}{23}\right)+1+\dfrac{7}{19}\)
=\(\dfrac{7}{19}x1+1+\dfrac{7}{19}\)
= \(\dfrac{7}{19}+1+\dfrac{7}{19}=1\dfrac{14}{19}\) = \(\dfrac{33}{19}\)
\(\dfrac{75}{100}+\dfrac{18}{21}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{3}{21}-\dfrac{17}{32}\)
= \(\dfrac{3}{4}+\dfrac{6}{7}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{1}{7}-\dfrac{17}{32}\)
= \(\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{6}{7}+\dfrac{1}{7}\right)+\left(\dfrac{49}{32}-\dfrac{17}{32}\right)\)
= 1 + 1 + 1 = 3
\(\dfrac{8}{9}x\dfrac{15}{16}x\dfrac{24}{25}x\dfrac{35}{36}x\dfrac{48}{49}x\dfrac{63}{64}\)
= \(\dfrac{3}{4}\) *Câu này bạn tự sử dụng gạch nhé!
`1,`
`a,`
`7/19 \times 8/23 + 7/19 \times 15/23 + 1 7/19`
`= 7/19 \times 8/23 + 7/19 \times 15/23 + 1 + 7/19`
`= 7/19 \times (8/23 + 15/23 + 1) + 1`
`= 7/19 \times 2 + 1`
`=14/19 + 1`
`= 33/19`
`b,`
`75/100 + 18/21 + 49/32 + 1/4 + 3/21 - 17/32`
`= 75/100 + (18/21 + 3/21) + (49/32 - 17/32) + 1/4`
`= 0,75 + 1 + 1 + 0,25`
`= (0,75 + 0,25) + 1 + 1`
`= 1+1+1=3`
`c,`
`8/9 \times 15/16 \times 24/25 \times 35/36 \times 48/49 \times 63/64`
`=` \(\dfrac{2\times3}{3\times3}\times\dfrac{3\times5}{4\times4}\times\dfrac{3\times4\times2}{5\times5}\times\dfrac{5\times7}{6\times6}\times\dfrac{6\times8}{7\times7}\times\dfrac{7\times9}{8\times8}\)
`= 3/4` (bạn sử dụng gạch, rút gọn các số là được nhé).
\(3\frac{1}{4}=3+\frac{1}{4}=\frac{12}{4}+\frac{1}{4}=\frac{13}{4}.\)
\(7\frac{5}{8}=7+\frac{5}{8}=\frac{56}{8}+\frac{5}{8}=\frac{61}{8}.\)
\(5\frac{3}{5}=5+\frac{3}{5}=\frac{25}{5}+\frac{3}{5}=\frac{28}{5}.\)
\(12\frac{4}{25}=12+\frac{4}{25}=\frac{300}{25}+\frac{4}{25}=\frac{304}{25}.\)
\(3\frac{1}{4}=\frac{13}{4}\)
\(7\frac{5}{8}=\frac{61}{8}\)
\(5\frac{3}{5}=\frac{28}{5}\)
\(12\frac{4}{25}=\frac{304}{25}\)
Học tốt
4\(\dfrac{1}{2}\) = 4+0,5 = 4,5
4\(\dfrac{1}{2}\) = \(\dfrac{9}{2}\) = 4,5
3\(\dfrac{4}{5}\) = 3+0,8 = 3,8
3\(\dfrac{4}{5}\) = \(\dfrac{19}{5}\) = 3,8
2\(\dfrac{3}{4}\) = 2 + 0,75 = 2,75
2\(\dfrac{3}{4}\) = \(\dfrac{11}{4}\) = 2,75
1\(\dfrac{12}{25}\) = 1 + \(0,48\) = 1,48
1\(\dfrac{12}{25}\) = \(\dfrac{37}{25}\) = 1,48
4 = 4+0,5 = 4,5
4 = = 4,5
3 = 3+0,8 = 3,8
3 = = 3,8
2 = 2 + 0,75 = 2,75
2 = = 2,75
1 = 1 + = 1,48
1 =
\(\frac{75}{100}+\frac{3}{4}x29+75\%x30+0,75x40\)
\(=\frac{3}{4}+\frac{3}{4}x29+\frac{75}{100}x30+\frac{75}{100}x40\)
\(=\frac{3}{4}+\frac{3}{4}x29+\frac{3}{4}x30+\frac{3}{4}x40\)
\(=\frac{3}{4}x\left(1+29+30+40\right)\)
\(=\frac{3}{4}x100\)
= 75
a.\(\frac{17}{20}+\frac{13}{15}+\frac{41}{15}=\frac{17}{20}+\left(\frac{13}{15}+\frac{41}{15}\right)=\frac{17}{20}+\frac{18}{5}=\frac{17}{20}+\frac{72}{20}=\frac{89}{20}\)
b. \(\frac{11}{22}+\frac{22}{66}+\frac{33}{132}=\frac{1}{2}+\frac{1}{3}+\frac{1}{4}=\frac{6}{12}+\frac{4}{12}+\frac{3}{12}=\frac{15}{12}=\frac{5}{4}\)
c. \(\frac{4}{5}-\frac{3}{8}+\frac{1}{2}=\frac{4}{5}-\frac{1}{8}=\frac{32-5}{40}=\frac{27}{40}\)
d. \(5-\frac{2}{3}+\frac{3}{4}=\frac{70-8-9}{12}=\frac{53}{12}\)
1/2 = 50/100 = 50% 1/5 = 20/100 = 20%
1/50 = 2/100 = 2% 1/25 = 4/100 = 4%
3/4 = 75/100 = 75% 9/4 = 225/100 = 225%