The models are shaded to show which of the following ?

\frac{1}{3} = \frac{2}{4}

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\frac{1}{4} > \frac{1}{3}

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\frac{2}{3} < \frac{2}{4}

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\frac{2}{4} < \frac{2}{3}

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Solution

The correct option is C $\frac{2}{4} < \frac{2}{3}$
both $\frac{2}{4}$ and $\frac{2}{3}$ are having same numerator.
So, the fraction having least denominator is greater.
Hence, $\frac{2}{4} < \frac{2}{3}$

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Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.
(a) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [- \frac{1}{4} \times \frac{2}{3}] + [- \frac{1}{4} \times (\frac{- 4}{7})]$
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The models are shaded to show which of the following ?

The correct option is C 24<23both 24 and 23 are having same numerator.So, the fraction having least denominator is greater. Hence, 24<23

The correct option is C $\frac{2}{4} < \frac{2}{3}$
both $\frac{2}{4}$ and $\frac{2}{3}$ are having same numerator.
So, the fraction having least denominator is greater.
Hence, $\frac{2}{4} < \frac{2}{3}$