Subjects algebra

Fraction Decimal True False

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1. We are asked to determine whether each inequality or equality statement involving fractions and decimal numbers is True or False. 2. For each item, we convert the fraction to its decimal equivalent and compare it with the decimal number given. 3. (a) $\frac{1}{4} = 0.25$. The statement is $\frac{1}{4} \leq 0.25$, which becomes $0.25 \leq 0.25$. This is True because both sides are equal. 4. (b) $\frac{7}{8} = 0.875$ because dividing 7 by 8 gives exactly 0.875. The statement asserts equality, so True. 5. (c) $\frac{2}{5} = 0.4$. The statement is $0.4 \leq 0.22$, which is False since 0.4 is greater than 0.22. 6. (d) $\frac{9}{20} = 0.45$. The statement is $0.45 \geq 0.5$, which is False since 0.45 is less than 0.5. 7. (e) $\frac{5}{6} \approx 0.8333...$. The statement is $0.8333... \leq 0.833...$, which is True since both represent the same repeating decimal (5/6). Final Answers: (a) True (b) True (c) False (d) False (e) True