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Fraction Subtraction Long Division

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Fraction Subtraction Long Division


1. **Problem 15:** Find $\frac{7}{8} - \frac{14}{16}$.\n\n2. To subtract fractions, they must have a common denominator. Note that $\frac{14}{16}$ can be simplified or converted to have denominator 8.\n\n3. Simplify $\frac{14}{16}$ by dividing numerator and denominator by 2: $$\frac{14}{16} = \frac{7}{8}.$$\n\n4. Now the problem is $\frac{7}{8} - \frac{7}{8} = 0$.\n\n5. So the answer to Question 15 is **0**, which corresponds to option b.\n\n6. **Problem 16:** Use long division to find $65432 \div 4$.\n\n7. Divide 65432 by 4 step-by-step:\n- 4 into 6 goes 1 time, remainder 2.\n- Bring down 5, making 25. 4 into 25 goes 6 times (24), remainder 1.\n- Bring down 4, making 14. 4 into 14 goes 3 times (12), remainder 2.\n- Bring down 3, making 23. 4 into 23 goes 5 times (20), remainder 3.\n- Bring down 2, making 32. 4 into 32 goes 8 times (32), remainder 0.\n\n8. The quotient is 16358.\n\n9. None of the provided options (a. 16361, b. 16360, c. 16359) match 16358 exactly, so the correct quotient is 16358, which is not listed.\n\n**Final answers:**\n- Question 15: b. 0\n- Question 16: Quotient is 16358 (not listed)