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VD: a = 0 ⇒ 120 : (5 - 0) = 120 : 5 = 24
a = 1 ⇒ 120 : (5 - 1) = 120 : 4 = 30
a = 3 ⇒ 120 : (5 - 3) = 120 : 2 = 60
a = 4 ⇒ 120 : (5 - 4) = 120 : 1 = 120
⇒ a = 0 vì 120 : (5 - 0) = 120 : 5 = 24 là giá trị nhỏ nhất trong các phép tính.
⇒Đáp án D = 0
Biểu thức đã cho nhỏ nhất khi \(5-a\) lớn nhất
Do đó \(a=0\)
Chọn D
Bài 2:
a: \(\dfrac{1}{4};\dfrac{2}{5}\)
\(\dfrac{1}{4}=\dfrac{1\cdot5}{4\cdot5}=\dfrac{5}{20}\)
\(\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}\)
\(\dfrac{2}{3};\dfrac{7}{8}\)
\(\dfrac{2}{3}=\dfrac{2\cdot8}{3\cdot8}=\dfrac{16}{24}\)
\(\dfrac{7}{8}=\dfrac{7\cdot3}{8\cdot3}=\dfrac{21}{24}\)
\(\dfrac{3}{4};\dfrac{5}{6}\)
\(\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\)
\(\dfrac{5}{6}=\dfrac{5\cdot2}{6\cdot2}=\dfrac{10}{12}\)
b: \(\dfrac{1}{3};\dfrac{7}{9}\)
\(\dfrac{1}{3}=\dfrac{1\cdot3}{3\cdot3}=\dfrac{3}{9}\)
\(\dfrac{7}{9}=\dfrac{7\cdot1}{9\cdot1}=\dfrac{7}{9}\)
\(\dfrac{3}{4};\dfrac{9}{24}\)
\(\dfrac{3}{4}=\dfrac{3\cdot6}{4\cdot6}=\dfrac{18}{24}\)
\(\dfrac{9}{24}=\dfrac{9\cdot1}{24\cdot1}=\dfrac{9}{24}\)
\(\dfrac{7}{10};\dfrac{19}{30}\)
\(\dfrac{7}{10}=\dfrac{7\cdot3}{10\cdot3}=\dfrac{21}{30}\)
\(\dfrac{19}{30}=\dfrac{19\cdot1}{30\cdot1}=\dfrac{19}{30}\)
Bài 1:
\(\dfrac{36}{108}=\dfrac{36:36}{108:36}=\dfrac{1}{3}\)
\(\dfrac{28}{30}=\dfrac{28:2}{30:2}=\dfrac{14}{15}\)
\(\dfrac{42}{98}=\dfrac{42:14}{98:14}=\dfrac{3}{7}\)
\(\dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\)
\(\dfrac{84}{364}=\dfrac{84:28}{364:28}=\dfrac{3}{13}\)
\(\dfrac{120}{100}=\dfrac{120:20}{100:20}=\dfrac{6}{5}\)
\(\dfrac{418}{38}=\dfrac{418:38}{38:38}=\dfrac{11}{1}=11\)
\(\dfrac{96}{1056}=\dfrac{96:96}{1056:96}=\dfrac{1}{11}\)
\(\dfrac{3838}{4040}=\dfrac{3838:101}{4040:101}=\dfrac{38}{40}=\dfrac{38:2}{40:2}=\dfrac{19}{20}\)
\(\dfrac{119119}{123123}=\dfrac{119119:1001}{123123:1001}=\dfrac{119}{123}\)
a) \(\frac{3}{4}-\frac{1}{6}-\frac{a}{b}=\frac{1}{2}\)
\(\frac{7}{12}-\frac{a}{b}=\frac{1}{2}\)
\(\frac{a}{b}=\frac{7}{12}-\frac{1}{2}\)
\(\frac{a}{b}=\frac{1}{12}\)
b) \(\frac{a}{b}\times\frac{1}{4}\times\frac{2}{5}=\frac{1}{7}\)
\(\frac{a}{b}\times\frac{1}{10}=\frac{1}{7}\)
\(\frac{a}{b}=\frac{1}{7}:\frac{1}{10}\)
\(\frac{a}{b}=\frac{10}{7}\)
c) \(\frac{1}{3}:\frac{a}{b}=\frac{2}{3}:\frac{4}{3}\)
\(\frac{1}{3}:\frac{a}{b}=\frac{1}{2}\)
\(\frac{a}{b}=\frac{1}{3}:\frac{1}{2}\)
\(\frac{a}{b}=\frac{3}{2}\)
\(\Leftrightarrow\dfrac{1}{4}< \dfrac{2}{a}< \dfrac{1}{3}\)
\(\Leftrightarrow8>a>6\)
hay a=7
\(\text{a + 1 + a + 2 + a + 3 + a + 4 + a + 5 = 120.}\)
\(\Leftrightarrow5a+15=120.\)
\(\Leftrightarrow5a=105.\)
\(\Leftrightarrow a=21.\)
a+1+a+2+a+3+a+4+a+5=120
đề bài như này đk bn