Subjects algebra

Solve K Product Fractions 00C0Fd

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1. **Stating the problem:** Find the value of $K$ given the equation $K \div 5 = 6$. 2. **Formula and rules:** To isolate $K$, multiply both sides of the equation by 5 because division by 5 is undone by multiplication by 5. 3. **Intermediate work:** $$K \div 5 = 6$$ Multiply both sides by 5: $$\cancel{5} \times \frac{K}{\cancel{5}} = 6 \times 5$$ $$K = 30$$ 4. **Answer for the first question:** The expression to find $K$ is $5 \times 6$, which corresponds to option d. --- 5. **Stating the problem:** Find the product of 60 and 4. 6. **Formula:** Product means multiplication: $$60 \times 4$$ 7. **Calculation:** $$60 \times 4 = 240$$ 8. **Answer:** The product of 60 and 4 is 240. --- 9. **Stating the problem:** Determine which fraction model represents a fraction less than another (symbol $<$). 10. **Explanation:** A fraction model divided into 4 vertical parts and 2 horizontal rows represents a fraction with denominator 8 (4 parts × 2 rows = 8 parts total). 11. **Interpretation:** If the shaded parts are fewer than another fraction's shaded parts, it represents a smaller fraction. 12. **Answer:** Without specific shading details, the fraction with fewer shaded parts in the model is less than the other. Final answers: - Expression for $K$: $5 \times 6$ - Product of 60 and 4: 240 - Fraction less than another: fraction with fewer shaded parts in the model