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Mathematics, 18.03.2021 01:10 Anthonyxxx1
[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.)
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[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))...
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