Understanding the Cost of Petrol
To find the cost of 1 litre of petrol when the cost of 2 3/4 litres is ₹70 2/5, we need to follow a systematic approach.
Step 1: Convert Mixed Numbers to Improper Fractions
- The quantity of petrol, 2 3/4 litres, can be converted:
- 2 3/4 = (2 * 4 + 3) / 4 = 11/4 litres
- The total cost, ₹70 2/5, can also be converted:
- 70 2/5 = (70 * 5 + 2) / 5 = 352/5
Step 2: Calculate the Cost of 1 Litre
- To find the cost of 1 litre, we will divide the total cost by the quantity of petrol:
- Cost of 1 litre = Total Cost / Quantity of Petrol
- Cost of 1 litre = (352/5) ÷ (11/4)
Step 3: Perform the Division
- Dividing by a fraction is the same as multiplying by its reciprocal:
- Cost of 1 litre = (352/5) * (4/11)
- Now, we can simplify:
- Cost of 1 litre = (352 * 4) / (5 * 11)
Step 4: Calculate the Final Amount
- Perform the multiplication:
- 352 * 4 = 1408
- 5 * 11 = 55
- So, Cost of 1 litre = 1408 / 55
Step 5: Final Calculation
- Dividing 1408 by 55 gives approximately 25.58.
Conclusion
- The cost of 1 litre of petrol is approximately ₹25.58. This method enables an accurate calculation by systematically converting and simplifying the fractions involved.