Question

[Ky Nguyen]

TÍNH:

a) 1+1/4+1/8+1/16

b) 2-1/8-1/12-1/16

c) 4/99 x 18/5 : 12/11 +3/5

d) (1-3/4)x(1+1/3):(1-1/3)

Answer 1

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a) \(1+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)

\(=\frac{16}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}\)

\(=\frac{23}{16}\)

b) \(2-\frac{1}{8}-\frac{1}{12}-\frac{1}{16}\)

\(=\frac{96}{48}-\frac{6}{48}-\frac{4}{48}-\frac{3}{48}\)

\(=\frac{83}{48}\)

c) \(\frac{4}{99}\cdot\frac{18}{5}\div\frac{12}{11}+\frac{3}{5}\)

\(=\frac{4\cdot18\cdot11}{99\cdot5\cdot12}+\frac{3}{5}\)

\(=\frac{4\cdot9\cdot2\cdot11}{9\cdot11\cdot5\cdot4\cdot3}+\frac{3\cdot3}{3\cdot5}\)

\(=\frac{2}{15}+\frac{9}{15}=\frac{11}{15}\)

d) \(\left(1-\frac{3}{4}\right)\left(1+\frac{1}{3}\right)\div\left(1-\frac{1}{3}\right)\)

\(=\frac{1}{4}\cdot\frac{4}{3}\div\frac{2}{3}\)

\(=\frac{1\cdot4\cdot3}{4\cdot3\cdot2}=\frac{1}{2}\)

Answer 2

[Ky Nguyen]

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