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세 분수의 곱셈 ④ multiplication of three fractions ④ 곱셈을 하시오. (곱셈을 할 때 약분할 것)…

Question

세 분수의 곱셈 ④
multiplication of three fractions ④
곱셈을 하시오. (곱셈을 할 때 약분할 것)
do the multiplication. (when doing the multiplication, reduce the fractions.)

(1) \\(\frac{2}{5} \times \frac{1}{10} \times \frac{5}{8} =\\)
(2) \\(3\frac{1}{6} \times \frac{5}{7} \times \frac{2}{3} =\\)
(3) \\(\frac{4}{5} \times \frac{16}{25} \times \frac{5}{8} =\\)
(4) \\(\frac{1}{7} \times 2\frac{2}{3} \times 3\frac{1}{2} =\\)
(5) \\(\frac{1}{2} \times 2\frac{2}{3} \times 4 =\\)

Explanation:

Convert mixed numbers to improper fractions

$$ LATEXBLOCK0 $$

Simplify and multiply numerators and denominators

$$ LATEXBLOCK1 $$

Answer:

No.ProblemAnswer
(2)\(3\frac{1}{6} \times \frac{5}{7} \times \frac{2}{3}\)\(\frac{95}{63}\) (or \(1\frac{32}{63}\))
(3)\(\frac{4}{5} \times \frac{16}{25} \times \frac{5}{8}\)\(\frac{2}{25}\)
(4)\(\frac{1}{7} \times 2\frac{2}{3} \times 3\frac{1}{2}\)\(\frac{4}{3}\) (or \(1\frac{1}{3}\))
(5)\(\frac{1}{2} \times 2\frac{2}{3} \times 4\)\(\frac{16}{3}\) (or \(5\frac{1}{3}\))