Subjects arithmetic

Rope Used

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Rope Used


1. **Stating the problem:** A rope is $\frac{5}{6}$ metres long. Ravi used $\frac{3}{4}$ metres. We need to find how much rope he used.\n\n2. **Understanding the problem:** The question asks for the length of rope Ravi used, which is already given as $\frac{3}{4}$ metres.\n\n3. **Clarification:** Since the rope is $\frac{5}{6}$ metres long and Ravi used $\frac{3}{4}$ metres, we can check if Ravi used more rope than available or less.\n\n4. **Comparing the lengths:** To compare $\frac{3}{4}$ and $\frac{5}{6}$, find a common denominator. The least common denominator of 4 and 6 is 12.\n\n5. **Convert fractions:**\n$$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$$\n$$\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}$$\n\n6. **Comparison:** Since $\frac{9}{12} < \frac{10}{12}$, Ravi used less rope than the total length.\n\n7. **Answer:** Ravi used $\frac{3}{4}$ metres of rope, which is less than the total rope length of $\frac{5}{6}$ metres.