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Find the cost of [tex]$3 \frac{2}{5}$[/tex] meters of cloth at [tex]₹ 63 \frac{3}{4}$[/tex] per meter.

Sagot :

To find the cost of [tex]\(3 \frac{2}{5}\)[/tex] meters of clop at ₹[tex]\(63 \frac{3}{4}\)[/tex] per meter, follow these steps:

1. Convert the Mixed Numbers to Improper Fractions:
- For [tex]\(3 \frac{2}{5}\)[/tex]:
[tex]\[ 3 \frac{2}{5} = 3 + \frac{2}{5} = \frac{15}{5} + \frac{2}{5} = \frac{17}{5} \][/tex]
- For ₹[tex]\(63 \frac{3}{4}\)[/tex]:
[tex]\[ 63 \frac{3}{4} = 63 + \frac{3}{4} = \frac{252}{4} + \frac{3}{4} = \frac{255}{4} \][/tex]

2. Convert the Improper Fractions to Decimal Form:
- [tex]\(3 \frac{2}{5} = \frac{17}{5} = 3.4\)[/tex]
- ₹[tex]\(63 \frac{3}{4} = \frac{255}{4} = 63.75\)[/tex]

3. Multiply the Quantities:
- Calculate the total cost by multiplying the converted decimal values:
[tex]\[ 3.4 \times 63.75 = 216.75 \][/tex]

### Conclusion
The cost of [tex]\(3 \frac{2}{5}\)[/tex] meters of clop at ₹[tex]\(63 \frac{3}{4}\)[/tex] per meter is ₹216.75.
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