Answer :

To determine who used the shorter rope, we need to compare the lengths of rope used by Rina and Sahana. Rina used [tex]2 \frac{2}{3}[/tex] metres of rope and Sahana used [tex]2 \frac{2}{5}[/tex] metres of rope.

  1. Convert the Mixed Numbers to Improper Fractions:

    • For Rina's rope:
      [tex]2 \frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{6 + 2}{3} = \frac{8}{3}[/tex]
    • For Sahana's rope:
      [tex]2 \frac{2}{5} = \frac{2 \times 5 + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5}[/tex]

  2. Find a Common Denominator:

    To compare the fractions, they need to have the same denominator. The denominators here are 3 and 5, and their least common multiple is 15.

  3. Convert Each Fraction to Have the Common Denominator 15:

    • For Rina's rope:
      [tex]\frac{8}{3} = \frac{8 \times 5}{3 \times 5} = \frac{40}{15}[/tex]
    • For Sahana's rope:
      [tex]\frac{12}{5} = \frac{12 \times 3}{5 \times 3} = \frac{36}{15}[/tex]

  4. Compare the Numerators:

    With a common denominator, you can directly compare the numerators:

    • Rina: [tex]40/15[/tex]
    • Sahana: [tex]36/15[/tex]

    Since 36 is less than 40, the rope Sahana used is shorter.

Therefore, Sahana used the shorter rope.

Thanks for taking the time to read For skipping Rina used 2 2 3 metres of rope and Sahana used 2 2 5 metres of rope Who used the shorter rope. 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