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\(a.60\times\left(\frac{7}{12}+\frac{4}{15}\right)\)
\(=60\times\left(\frac{35}{60}+\frac{16}{60}\right)\)
\(=60\times\frac{51}{60}\)
\(=51\)
\(b.\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\times\frac{6}{7}\times\frac{7}{8}\times\frac{8}{9}\)
\(=\frac{1\times2\times3\times4\times5\times6\times7\times8}{2\times3\times4\times5\times6\times7\times8\times9}\)
\(=\frac{1}{9}\)
\(\dfrac{21}{16}\times\dfrac{8}{5}\times\dfrac{15}{7}=\dfrac{21\times8\times15}{16\times5\times7}=\dfrac{7\times3\times8\times5\times3}{8\times2\times5\times7}=\dfrac{3\times3}{2}=\dfrac{9}{2}\)
\(\dfrac{18}{9}\times\dfrac{9}{36}\times\dfrac{27}{3}=2\times\dfrac{1}{4}\times9=\dfrac{1}{2}\times9=\dfrac{9}{2}\)
Bài làm
\(\frac{7}{15}x\frac{3}{8}+\frac{7}{15}x\frac{5}{8}\)
= \(\frac{7}{15}x\left(\frac{3}{8}+\frac{5}{8}\right)\)
= \(\frac{7}{15}x\frac{8}{8}\)
= \(\frac{7}{15}x1\)
= \(\frac{7}{15}\)
# Chúc bạn học tốt #
\(\frac{7}{15}\cdot\frac{3}{8}+\frac{7}{15}\cdot\frac{5}{8}\)
\(=\frac{7}{15}\cdot(\frac{3}{8}+\frac{5}{8})\)
\(=\frac{7}{15}\cdot1=\frac{7}{15}\)
a; 60 \(\times\) (\(\dfrac{7}{12}\) + \(\dfrac{4}{15}\))
= 60 \(\times\) \(\dfrac{7}{12}\) + 60 \(\times\) \(\dfrac{4}{15}\)
= 35 + 16
= 51
a,\(60\times\left(\frac{7}{12}+\frac{4}{15}\right)\)\(=\frac{60\times7}{12}+\frac{60\times4}{15}\)
\(=\frac{12\times5\times7}{12}+\frac{15\times4\times4}{15}\)
\(=5\times7+4\times4\)
\(=35+16\)
\(=51\)
b, \(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{8}{9}\)\(=\frac{1\times2\times3\times4\times5\times6\times7\times8}{2\times3\times4\times5\times6\times7\times8\times9}\)
\(=\frac{1}{9}\)
\(\frac{5x8x24x27}{8x15x9x7}=\frac{5x8x24x9x3}{8x5x3x9x7}=\frac{24}{7}\)
Chúc bạn học tốt.
😁😁😁
Ta tính thuận tiện bằng cách phân tích các thừa số để bỏ thừa số chung:
\(\frac{5\text{x}8\text{x}24\text{x}27}{8\text{x}15\text{x}9\text{x}7}=\frac{5\text{x}8\text{x}3\text{x}8\text{x}3\text{x}3\text{x}3}{8\text{x}3\text{x}5\text{x}3\text{x}3\text{x}7}\)
\(=\frac{8\text{x}3}{7}\)
\(=\frac{24}{7}\)