Fraction times fraction

Number Theory Level 1

Yogika was learning multiplication of fractions and have determined the following equations:

1 2 × 3 4 = 3 8 1 3 × 1 2 = 1 6 3 2 × 5 4 = 15 8 . \dfrac{1}{2} \times \dfrac{3}{4} =\dfrac{3}{8} \\ \dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6} \\ \dfrac 32 \times \dfrac 54=\dfrac{15}{8} .

With these results, she concluded that the product of two non- integer rational numbers is always a non-integer rational number. Is she correct?

No Yes

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Goh Choon Aik
Aug 11, 2016

Example: 4 3 × 3 4 = 1 \frac {4}{3} \times \frac {3}{4} = 1

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But 1 can also be written as 1/1 which is a fraction itself.

Achal Jain - 4 years, 10 months ago

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Thanks. I see that the problem statement has been rephrased. Because of the ambiguity of the previous writeup, I've given credit to those who answered "Yes" as well.

In future, if you spot any errors with a problem, you can “report” it by selecting "report problem" in the “line line line” menu in the top right corner. This will notify the problem creator who can fix the issues.

Brilliant Mathematics Staff - 4 years, 10 months ago

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