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The cost of two whole three by 4 m of cloth is 73 whole 1/3 find the cost of cloth per metre?
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The cost of two whole three by 4 m of cloth is 73 whole 1/3 find the c...
Understanding the Problem
To find the cost of cloth per meter, we first need to clarify the total cost and the total length of the cloth.
Total Cost of Cloth
- The cost of two whole pieces of cloth is 73 whole 1/3.
- This can be converted to an improper fraction for easier calculations.
Converting Mixed Number
- 73 whole 1/3 can be expressed as (73 * 3 + 1) / 3 = 220/3.
Total Length of Cloth
- Each piece of cloth measures 3/4 m.
- Since there are two pieces, the total length is 2 * (3/4) m = 6/4 m = 3/2 m.
Calculating Cost Per Meter
1. Total Cost in Fraction: 220/3
2. Total Length in Fraction: 3/2
Cost Per Meter Calculation
- Cost per meter = Total Cost / Total Length
- Cost per meter = (220/3) / (3/2)
Multiplying by the Reciprocal
- To divide by a fraction, multiply by its reciprocal:
- Cost per meter = (220/3) * (2/3) = 440/9.
Final Calculation
- Converting 440/9 into a mixed number:
- 440 ÷ 9 = 48 remainder 8, so it’s 48 whole and 8/9.
Conclusion
- The cost of cloth per meter is approximately 48 whole 8/9, or about 48.89.
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