Respuesta :

Answer:

7/15 km

Step-by-step explanation:

Find the least common denominator between the two fractions. The least common denominator in this case would be 15, so you have to multiply 1/3 by 5 to have a denominator of 15. Then you multiply 1/5 by 3 to have a denominator of 15. You will find that Mark ran a distance of 2 5/15 km and Shaun ran 3 3/15 km. To make it even easier, you can add the whole number back into the fraction so Mark will have ran 35/15 km and Shaun will have ran 48/15 km meaning that Shaun will have ran more. Then you set you fractions up and subtract them.

fichoh

The difference in the distance covered by Shaun and Mark is obtained by subtracting the distance value of each runner which gives [tex] \frac{13}{15} \: km [/tex]

  • Distance ran by Mark = [tex] 2 \frac{1}{3} [/tex]

  • Distance ran by Shaun = [tex] 3 \frac{1}{5} [/tex]

The difference in the distance covered :

  • Distance ran by Shaun - Distance ran by Mark

  • [tex] 3 \frac{1}{5} - 2 \frac{1}{3} [/tex]

  • [tex] \frac{16}{5} - \frac{7}{3}[/tex]

  • L.C.M of the denominator (5 and 3) = 15

  • [tex] \frac{(48 - 35)}{15} = \frac{13}{15} \: km [/tex]

Therefore, the difference in the distance they ran is [tex] \frac{13}{15} \: km [/tex]

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