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3 \(\times\) \(\dfrac{4}{15}\) + 2 \(\times\) \(\dfrac{4}{15}\) - 5 \(\times\) \(\dfrac{4}{15}\)
= \(\dfrac{4}{15}\) \(\times\) ( 3 + 2 - 5)
= \(\dfrac{4}{15}\) \(\times\) 0
= 0
\(\frac{10}{15}=\frac{34}{51}=\frac{36}{54}\)
\(\frac{15}{20}=\frac{51}{68}=\frac{54}{72}\)
Ta có : \(\frac{10}{15}=\frac{2}{3}\)
\(\frac{15}{20}=\frac{3}{4}\)
\(\frac{34}{51}=\frac{2}{3}\)
\(\frac{51}{68}=\frac{3}{4}\)
\(\frac{36}{54}=\frac{2}{3}\)
\(\frac{54}{72}=\frac{3}{4}\)
\(\Rightarrow\frac{10}{15}=\frac{34}{51}=\frac{36}{54}\left(=\frac{2}{3}\right)\);\(\frac{15}{20}=\frac{51}{68}=\frac{54}{72}\left(=\frac{3}{4}\right)\)
Trả lời:
\(\frac{2\times4+2\times4\times8+4\times8\times16+8\times16\times32}{3\times4+2\times6\times8+4\times12\times16+8\times24\times32}\)
\(=\frac{2\times4+2\times4\times8+2.2\times2.4\times16+4.2\times4.4\times32}{3\times4+2\times2.3\times2.4+4\times3.4\times4.4+8\times8.3\times8.4}\)
\(=\frac{2\times4\times\left(1+8+2\times2\times16+4\times4\times32\right)}{3\times4\times\left(1+2\times2\times2+4\times4\times4+8\times8\times8\right)}\)
\(=\frac{2\times4\times\left(1+8+64+512\right)}{3\times4\times\left(1+8+64+512\right)}\)
\(=\frac{2}{3}\)
175 x 54 + 525 x 15 + 175
= 175 x 54 + 175 x (3 x 15) + 175
= 175 x 54 + 175 x 45 + 175
= 175 x (54 + 45 + 1) = 175 x 100 = 17500
\(\frac{3.4}{15}+\frac{2.4}{15}-\frac{54}{15}\)
\(=\frac{12}{15}+\frac{8}{15}-\frac{54}{15}\)
\(=\frac{12+8-54}{15}\)\
\(=\frac{-34}{15}\)