A high

A high school track​ team's long jump record is 23 feet, 11 3/4 inches. ​Paul's best long jump is 23 feet and 3 1/2 inches this year. If long jumps are measured to the nearest quarter​ inch, how much farther must jump to break the​ record?

Correct answer:

x =  8 ¹⁄₄ = 33/4 in

Step-by-step explanation:

$$\begin{gathered} 23ft113/4inch-23ft31/2inch \\ a=11\frac{3}{4}=11+\frac{3}{4}=\frac{11\cdot 4+3}{4}=\frac{44+3}{4}=\frac{47}{4}=11.75\text{inch} \\ b=3\frac{1}{2}=3+\frac{1}{2}=\frac{3\cdot 2+1}{2}=\frac{6+1}{2}=\frac{7}{2}=3.5\text{inch} \\ x=a-b=\frac{47}{4}-\frac{7}{2}=\frac{47}{4}-\frac{14}{4}=\frac{47-14}{4}=\frac{33}{4}=\frac{33}{4}\text{in}=8\frac{1}{4}\text{in}=8.25\text{in} \end{gathered}$$

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