Subjects algebra

Compare Rationals A63B6E

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1. **Stating the problem:** We are given two rational numbers: 0.76 and \(\frac{3}{4}\). We need to determine which of the following statements is true: - 0.76 > \(\frac{3}{4}\) - 0.76 < \(\frac{3}{4}\) - 0.76 = \(\frac{3}{4}\) 2. **Convert the fraction to decimal:** To compare easily, convert \(\frac{3}{4}\) to decimal form using the formula: $$\text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}}$$ So, $$\frac{3}{4} = 0.75$$ 3. **Compare the decimals:** Now compare 0.76 and 0.75. Since 0.76 is greater than 0.75, the statement 0.76 > \(\frac{3}{4}\) is true. 4. **Conclusion:** - Statement 1 is true. - Statements 2 and 3 are false. **Final answer:** 0.76 > \(\frac{3}{4}\)