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(A) To compare the fractions,we find the $L.C.M.$ of the denominators $8, 35, 16$,and $7$.$L.C.M. (8, 35, 16, 7) = 560$.Now,convert each fraction to a

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$\frac{33}{112}$

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(A) To compare the fractions,we find the $L.C.M.$ of the denominators $8, 35, 16$,and $7$.$L.C.M. (8, 35, 16, 7) = 560$.Now,convert each fraction to an equivalent fraction with denominator $560$:$\frac{5}{8} = \frac{5 	imes 70}{8 	imes 70} = \frac{350}{560}$$\frac{21}{35} = \frac{21 	imes 16}{35 	imes 16} = \frac{336}{560}$$\frac{9}{16} = \frac{9 	imes 35}{16 	imes 35} = \frac{315}{560}$$\frac{6}{7} = \frac{6 	imes 80}{7 	imes 80} = \frac{480}{560}$Comparing the numerators,the largest fraction is $\frac{480}{560} = \frac{6}{7}$ and the smallest fraction is $\frac{315}{560} = \frac{9}{16}$.The difference is $\frac{480}{560} - \frac{315}{560} = \frac{165}{560}$.Simplifying $\frac{165}{560}$ by dividing both numerator and denominator by $5$,we get $\frac{33}{112}$.

What is the difference between the largest and the smallest fractions among $\frac{5}{8}, \frac{21}{35}, \frac{9}{16}$,and $\frac{6}{7}$?

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