\(5-\frac{13}{15}=\)
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34 −35 +37 +311 134 −135 +137 +1311
\(=\frac{3.\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{11}\right)}{13.\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{11}\right)}\)
\(=\frac{3}{13}\)
=\(21\frac{13}{15}.\frac{-11}{5}+13\frac{2}{15}.\frac{-11}{5}+\frac{9}{16}\)
=\(\left(21\frac{13}{15}+13\frac{2}{15}\right).\frac{-11}{5}+\frac{9}{16}\)
= \(35.\frac{-11}{5}+\frac{9}{16}\)
= \(-77+\frac{9}{16}\)
= \(\frac{1223}{16}\)
\(=21\frac{13}{15}.\frac{-11}{5}+13\frac{2}{15}.\frac{-11}{5}\)\(+\frac{9}{16}\)
=\(\left(21\frac{13}{15}+13\frac{2}{15}\right).\frac{-11}{5}+\frac{9}{16}\)
\(=35.\frac{-11}{5}+\frac{9}{16}\)
\(=-77+\frac{9}{16}\)
\(=-77+1-\frac{7}{16}\)
\(=-77-\frac{7}{16}=-77\frac{7}{16}\)
Ta có:
\(21\frac{13}{15}.\frac{-11}{5}+13\frac{2}{15}:\frac{-5}{11}+\left(\frac{3}{4}\right)^2\)
\(=\frac{328}{15}.\frac{-11}{5}+\frac{197}{15}:\frac{-5}{11}+\frac{9}{16}\)
\(=\frac{328}{15}.\frac{-11}{5}+\frac{197}{15}.\frac{-11}{5}+\frac{9}{16}\)
\(=\frac{-5}{11}\left(\frac{328}{15}+\frac{197}{15}\right)+\frac{9}{16}\)
\(=\frac{-5}{11}.35+\frac{9}{16}\)
\(=\frac{-175}{11}+\frac{9}{16}\)
\(=\frac{-2701}{176}\)
Vậy........
7/13(7/15+8/15)-(5/12).(7/13)
=7/13(1-5/12)=7/13(7/12)=49/(12.13)
7/13 . 7/15 - 5/12 . 7/13 + 7/13 . 8/15
=49/195 - 35/156 + 56/195
=49/156
Ta có:
\(\left(\right. \frac{13 \frac{2}{9} - 15 \frac{2}{3}}{18 \frac{3}{7} - 17 \frac{1}{4}} \cdot \frac{30^{2} - 5^{4}}{25 - 12 \cdot 5^{2}} \left.\right) \cdot x = \frac{\frac{2}{11} + \frac{3}{13} + \frac{4}{15} + \frac{5}{17}}{4 \frac{1}{11} + \frac{5}{13} + \frac{9}{15} + \frac{13}{17}}\)
Bước 1: Đổi hỗn số về phân số
- \(13 \frac{2}{9} = \frac{119}{9}\),
- \(15 \frac{2}{3} = \frac{47}{3}\),
- \(18 \frac{3}{7} = \frac{129}{7}\),
- \(17 \frac{1}{4} = \frac{69}{4}\)
Bước 2: Tính toán từng phần
Ta có:
\(\frac{119}{9} - \frac{47}{3} = \frac{119 - 141}{9} = \frac{- 22}{9}\) \(\frac{129}{7} - \frac{69}{4} = \frac{516 - 483}{28} = \frac{33}{28}\) \(30^{2} - 5^{4} = 900 - 625 = 275\) \(25 - 12 \cdot 25 = 25 - 300 = - 275\)
Khi đó:
\(\left(\right. \frac{- 22}{9} \div \frac{33}{28} \cdot \frac{275}{- 275} \left.\right) = \left(\right. \frac{- 22}{9} \cdot \frac{28}{33} \cdot \left(\right. - 1 \left.\right) \left.\right) = \frac{616}{297}\)
Bước 3: Tính vế phải
Tử số:
\(\frac{2}{11} + \frac{3}{13} + \frac{4}{15} + \frac{5}{17} = \frac{35494}{36465}\)
Mẫu số:
\(4 \frac{1}{11} + \frac{5}{13} + \frac{9}{15} + \frac{13}{17} = \frac{149645}{36465}\)
→ Vế phải:
\(\frac{35494}{36465} \div \frac{149645}{36465} = \frac{35494}{149645}\)
Bước 4: Giải phương trình
\(\frac{616}{297} \cdot x = \frac{35494}{149645} \Rightarrow x = \frac{35494}{149645} \cdot \frac{297}{616} = \frac{813}{7118}\)
Vậy:
\(\boxed{x = \frac{813}{7118}}\)
hỉu không =]]]
Tính tất cả ra thì được:
\(=\frac{\frac{973}{60}}{\frac{139}{60}}:\frac{\frac{1255}{221}}{\frac{1506}{221}}+\frac{5858}{5050}\)
\(=\frac{\frac{139}{60}}{\frac{973}{60}}.\frac{\frac{1506}{221}}{\frac{1255}{221}}+\frac{5858}{5050}\)
Tính tử và mẫu dần rồi ra ( phần này dễ mà )
Ta được: ( mình chỉ lấy 2 chữ số phần thập phân thôi )
\(=\frac{1578}{9209}+\frac{5858}{5050}\)
= 133/100
End
= 1/3 - 1/3 + 5/7 - 5/7 - 7/9 + 7/9 +9/11 - 9/11 -11/13 + 11/13 +13/15
= 0 + 0 - 0 + 0 -0 + 13/15
= 0 + 13/15
= 13/15
\(\frac{1}{3}-\frac{3}{5}+\frac{5}{7}-\frac{7}{9}+\frac{9}{11}-\frac{11}{13}+\frac{13}{15}+\frac{11}{13}-\frac{9}{11}+\frac{7}{9}-\frac{5}{7}+\frac{3}{5}-\frac{1}{3}\)
\(=\left(\frac{1}{3}-\frac{1}{3}\right)+\left(\frac{3}{5}-\frac{3}{5}\right)+\left(\frac{5}{7}-\frac{5}{7}\right)+\left(\frac{7}{9}-\frac{7}{9}\right)+\left(\frac{9}{11}-\frac{9}{11}\right)+\left(\frac{11}{13}-\frac{11}{13}\right)+\frac{13}{15}\)
\(=0+0+0+0+0+0+\frac{13}{15}\)
\(=\frac{13}{15}\)
a=(1/3-1/3)+(3/5-3/5)+(5/7-5/7)+(9/11-9/11)+(11/13-11/13)+13/15
a=13/15
5-13/15
=75/15-13/15
=(75-13)/15
=62/15
5 - 13/15 = 5/1 - 13/15=75/15-13/15=62/15