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5 of a road is to be resurfaced. If the rod is 2 3/5 km long, what length in kilometres is to be resurfaced?

Mathematics

ScanSolve AI Answer

Answer

11425 km\text{1}\frac{14}{25} \text{ km}

Step-by-step solution

5 steps

  1. Identify the total length of the road and the fraction to be resurfaced.

    The total length of the road is 2352\frac{3}{5} km.
    The fraction of the road to be resurfaced is 35\frac{3}{5}.

  2. Convert the mixed number to an improper fraction.

    235=(2×5)+35=10+35=1352\frac{3}{5} = \frac{(2 \times 5) + 3}{5} = \frac{10 + 3}{5} = \frac{13}{5}

  3. Calculate the length to be resurfaced by multiplying the total length by the fraction.

    Length to be resurfaced = (Fraction to be resurfaced) ×\times (Total length)

    Length=35×135 km\text{Length} = \frac{3}{5} \times \frac{13}{5} \text{ km}

  4. Multiply the fractions.

    Length=3×135×5 km\text{Length} = \frac{3 \times 13}{5 \times 5} \text{ km} Length=3925 km\text{Length} = \frac{39}{25} \text{ km}

  5. Convert the improper fraction to a mixed number.

    3925=11425 km\frac{39}{25} = 1\frac{14}{25} \text{ km}

    The length of the road to be resurfaced is 11425 km\text{1}\frac{14}{25} \text{ km}.

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