Mathematics
Mathematics, 17.03.2021 23:40, devontadunn4789

[asy] size(7cm);
draw((1.8,0)--(3.2,0),Arrows);
draw((2,0.03)--(2,-0.03));
draw((3,0.03)--(3,-0.03));

for(real i=15/7; i<2.9; i+=1/7){
draw((i,0.02)--(i,-0.02));
};

label("2",(2,-0.02),S);
label("3",(3,-0.02),S);
label("$\heartsuit$",(16/7,-0.01),S , red);
[/asy]
What is the simplest fraction whose value is equal to the number $\textcolor{red}{\heartsuit}$ depicted on this number line?

(Give your answer as a fraction, not a mixed number. "Simplest fraction" means the numerator and denominator should have no common divisor greater than 1. For example, 5/6 is a fraction in simplest form, but 4/6 is not in simplest form because a common divisor of 2 can be factored out of the numerator and denominator. The simplest form of 4/6 is 2/3.)

answer
Answers: 3

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[asy] size(7cm);
draw((1.8,0)--(3.2,0),Arrows);
draw((2,0.03)--(2,-0.03));
draw(...

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