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If 0.3 the multiplicative inverse of 3 1/3? Why or why not?

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If 0.3 the multiplicative inverse of 3\(\frac{1}{3}\)? Why or why not?

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3\(\frac{1}{3}\) = \(\frac{10}{3}\)

0.3 = \(\frac{3}{10}\)

[Multiplicative inverse ⟹ product should be 1]

According to the question,

\(\frac{3}{10}\) × \(\frac{10}{3}\) = 1

Therefore, 0.3 is the multiplicative inverse of 3\(\frac{1}{3}\) = \(\frac{10}{3}\)

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