Respuesta :
Ms. Shank ran 5 2/7 miles.
Mr. Jones ran 4 3/4 miles.
To determine how much farther did Ms. Shank ran than Mr. Jones, you have to calculate the difference between both distances:
[tex]5\frac{2}{7}-4\frac{3}{4}[/tex]To calculate this difference, you can calculate the difference between the whole numbers and the difference between the fractions separately:
- Difference between whole numbers:
[tex]5-4=1[/tex]- Difference between fractions:
[tex]\frac{2}{7}-\frac{3}{4}[/tex]First, you have to express both fractions with the same denominator, the least common factor between "7" and "4" is 28, multiply the first fraction by 4 and the second by 7 to express both of them as their equivalent with denominator 28:
[tex]\frac{2\cdot4}{7\cdot4}-\frac{3\cdot7}{4\cdot7}=\frac{8}{28}-\frac{21}{28}[/tex]Now that both fractions have the same denominator you can calculate the difference between them:
[tex]\frac{8}{28}-\frac{21}{28}=\frac{8-21}{28}=\frac{-13}{28}[/tex]- The final step is to add the results of the difference between the whole numbers and the fractions:
[tex]1+(-\frac{13}{28})=1-\frac{13}{28}[/tex]Divide the whole number by 1 to express it as a fraction, then, multiply the fraction by 28. Once both fractions have the same denominator, you can calculate the difference
[tex]\begin{gathered} 1-\frac{13}{28}=\frac{1}{1}-\frac{13}{28}=\frac{1\cdot28}{1\cdot28}-\frac{13}{28} \\ \frac{28}{28}-\frac{13}{28}=\frac{28-13}{28}=\frac{15}{28} \end{gathered}[/tex]Ms. Shank ran 15/28 miles more than Mr. Jones.
