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vì 1/4 bé hơn 1; 3/8 bé hơn 1; 1700/1808 bé hơn 1 nên :
(1/4+3/8+1700/1808) <3
sua lai :
1015/1016<1016/1015
nen :1+1015/1016<1+1016/1015
\(1+\frac{1005}{1006}<1+1=2<1+1+\frac{1}{1005}=1+\frac{1006}{1005}\)
a) \(\frac{55}{32}\)
b) \(\frac{90}{48}\)
c) \(\frac{76}{15}\)
d) \(\frac{552}{119}\)
\(\frac{9}{16}+\frac{37}{32}=\frac{18}{32}+\frac{37}{32}=\frac{55}{32}\)
\(\frac{126}{48}-\frac{12}{16}=\frac{21}{8}-\frac{6}{8}=\frac{15}{8}\)
\(\frac{19}{15}\times\frac{32}{8}=\frac{19}{15}\times4=\frac{76}{15}\)
\(\frac{23}{17}:\frac{7}{24}=\frac{23}{17}.\frac{24}{7}=4\frac{76}{119}\)
Để kết quả của phép tính trên là 0 thì :
\(\frac{32}{46}\)X x - \(\frac{16}{23}\)X \(\frac{21}{23}\)= 0
\(\frac{16}{23}\)X x - \(\frac{16}{23}\)X \(\frac{21}{23}\)= 0
\(\frac{16}{23}\)X ( x - \(\frac{21}{23}\)) = 0
x - \(\frac{21}{23}\)= 0 ( chia cả 2 vế cho \(\frac{16}{23}\))
x = 0 + \(\frac{21}{23}\)
x = \(\frac{21}{23}\)
Vậy x = \(\frac{21}{23}\)
3636/4545+x=4848/1515
x=4848/1515-3636/4545
x=14544/4545-3636/4545
x=10908/4545
3535/5050-x=8/25
x=3535/5050-1616/5050
x=1919/5050
Bài 1 :
12/19 + 4 = 88/19
1234 + 9800 - 9700 = 1334
Bài 2:
10/32 < 9/8
21/14 > 20/12
1)
a)\(\frac{12}{19}\)+4=\(\frac{12}{19}\)+ \(\frac{76}{19}\)=\(\frac{88}{19}\) 1234+9800-9700
=1234+100=1334
2)\(\frac{10}{32}\)<\(\frac{9}{8}\) \(\frac{21}{14}\)<\(\frac{20}{12}\)
ta có \(\frac{3}{7}=\frac{3\times3}{7\times3}=\frac{9}{21}\)(quy đồng tử)
So sánh \(\frac{9}{21}\)và \(\frac{9}{17}\)ta có:
\(21>17\Rightarrow\frac{9}{17}>\frac{9}{21}\Rightarrow\frac{9}{17}>\frac{3}{7}\)
VẬY: \(\frac{9}{17}>\frac{3}{7}\)
👨👨👦 💑 👨👨👧👦 👩❤️💋👩 👩❤️💋👩 👩❤️💋👩 💑 💑 💑 💑 💑 👩❤️💋👩 🐜 🐜 🐉 🐉 🐉 🐉 🐉
So sánh với 1:
\(\frac{19}{15}>1\)
\(\frac{21}{27}< 1\)
Vậy: \(\frac{19}{15}< \frac{21}{27}\)
Ta có : \(\frac{19}{15}+1=\frac{34}{15}\)
\(\frac{21}{27}+1=\frac{46}{27}\)
Vì \(\frac{34}{15}>\frac{46}{27}\Rightarrow\frac{19}{15}>\frac{21}{27}\)
\(\hept{\begin{cases}\frac{21}{23}=1-\frac{2}{23}\\\frac{57}{59}=1-\frac{2}{59}\end{cases}}\)
\(\frac{2}{23}>\frac{2}{59}\Rightarrow\frac{21}{23}< \frac{57}{59}\)(1)
\(\hept{\begin{cases}\frac{12}{37}< \frac{12}{36}=\frac{1}{3}\\\frac{3}{8}>\frac{3}{9}=\frac{1}{3}\end{cases}}\Rightarrow\frac{12}{37}< \frac{3}{8}\) (2)
(1), (2) \(\Rightarrow M< N\)
Ta có : 57/59 > 21/23, 3/8 = 12/32 > 12/37 nên N > M