Answer :

To find the cost of [tex]5 \frac{2}{3}[/tex] metres of cloth when 1 metre costs ₹31, you can follow these steps:

  1. Convert the mixed number to an improper fraction:
    [tex]5 \frac{2}{3} = \frac{5 \times 3 + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3}[/tex]

  2. Multiply the cost of 1 metre by the total metres required:

    The cost of one metre is ₹31. Therefore, the cost of [tex]\frac{17}{3}[/tex] metres is given by:
    [tex]31 \times \frac{17}{3} = \frac{31 \times 17}{3}[/tex]

  3. Calculate the multiplication:
    [tex]31 \times 17 = 527[/tex]

    Now, divide by 3:
    [tex]\frac{527}{3}[/tex]

  4. Perform the division to find the total cost:

    Divide 527 by 3:

    • 3 goes into 52 seventeen times, giving 51. Subtract 51 from 52 to get 1.
    • Bring down the 7 to get 17. 3 goes into 17 five times, giving 15. Subtract 15 from 17 to get 2.
    • There's no more number to bring down, so the remainder is 2.

    Thus, [tex]\frac{527}{3} = 175 \frac{2}{3}[/tex]

    The cost in whole rupees is ₹175, with a remainder cost of two-thirds of a rupee.

Therefore, the cost of [tex]5 \frac{2}{3}[/tex] metres of cloth is ₹175 with a partial remaining cost of [tex]\frac{2}{3}[/tex] of a rupee, which is approximately ₹0.67.

So, the final cost is ₹175.67.

Thanks for taking the time to read If 1 metre of cloth costs 31 find the cost of 5 frac 2 3 metres of cloth. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada