Rational Number

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Step 1: A rational number has the form p/q where p and q are integers and q ≠ 0. Step 2: Here p = -3 and q = 7. Step 3: Both are integers and the denominator is not zero. Answer: -3/7 is a rational nu…

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Step 1: Zero can be written with a non-zero denominator. Step 2: Examples: 0/1 and 0/5. Step 3: Both have denominator not equal to 0. Answer: 0 = 0/1 = 0/5, so 0 is a rational number.

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Step 1: In p/q, p is the numerator and q is the denominator. Step 2: For -8/15, p = -8 and q = 15. Answer: Numerator = -8, denominator = 15.

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Step 1: A rational number is positive if numerator and denominator have the same sign. Step 2: 5/8 has the same sign, so it is positive. Step 3: 5/-8 has opposite signs, so it is negative. Answer: 5/8…

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Step 1: Find the common factor of 12 and 18. Step 2: Divide numerator and denominator by 6. Step 3: 12/18 = 2/3. Step 4: Denominator is positive and 2 and 3 have no common factor other than 1. Answer:…

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Step 1: Standard form needs a positive denominator. Step 2: 3/-5 has a negative denominator, so it is not in standard form. Step 3: Move the negative sign to the numerator. Answer: 3/-5 = -3/5, which …

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Step 1: To make the denominator 20, multiply 4 by 5. Step 2: Multiply numerator and denominator by 5. Step 3: 3/4 = (3 × 5)/(4 × 5) = 15/20. Answer: 15/20.

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Step 1: Use the rule a/b = c/d ⇒ a × d = b × c. Step 2: Here 2 × 6 = 12 and 3 × 4 = 12. Step 3: Since both products are equal, the fractions are equal. Answer: Yes, 2/3 = 4/6.