One Way:
We can change the mixed number to a decimal for comparing.
[tex] 1\frac{1}{4} [/tex] m = [tex] \frac{5}{4} [/tex] m = 1.25 m
1.4 m > 1.25 m
Darren > Luke
Darren's jump was higher by (1.4-1.25) 0.15 m
Or another way change the decimal to a fraction and the mixed to an improper fraction too.
[tex] 1\frac{1}{4} [/tex] = [tex] \frac{5}{4} [/tex] (Luke)
1.4 = [tex] \frac{7}{5} [/tex] (Darren)
We need a common denominator to compare
[tex] \frac{5*5}{4*5} [/tex] (Luke)
[tex] \frac{7*4}{5*4} [/tex] (Darren)
[tex] \frac{25}{20} [/tex] (Luke)
[tex] \frac{28}{20} [/tex] (Darren)
[tex] \frac{28}{20} > \frac{25}{20} [/tex]
Darren > Luke
By:
[tex] \frac{28}{20} [/tex] - [tex] \frac{25}{20} [/tex] = [tex] \frac{3}{20} [/tex]
Which is also by 0.15 m
Darren jumps higher and by 0.15 m
