QUESTION 8OF10 1 POINT | SINGLE ANSWER What is the distance from the bottom of the Torque Tube to the top of the lower Damper Bracket on a Coil Over Damper? 253/4''+7/16''-1/8'' 303/4^n+3/16^n-1/8^n 343/4^n+3/16''-1/8'' 283/4^n+7/16^n-1/8^n

To find the distance from the bottom of the Torque Tube to the top of the lower Damper Bracket on a Coil Over Damper, we need to perform the arithmetic operations given in each option and then compare the results.<br /><br />Let's calculate each option step by step:<br /><br />1. \( 25 \frac{3}{4}'' + \frac{7}{16}'' - \frac{1}{8}'' \)<br /> - Convert mixed numbers and fractions to improper fractions:<br /> \( 25 \frac{3}{4} = 25 + \frac{3}{4} = \frac{100}{4} + \frac{3}{4} = \frac{103}{4} \)<br /> \( \frac{7}{16} \)<br /> \( \frac{1}{8} = \frac{2}{16} \)<br /> - Perform the addition and subtraction:<br /> \( \frac{103}{4} + \frac{7}{16} - \frac{2}{16} \)<br /> Convert \(\frac{103}{4}\) to a common denominator of 16:<br /> \( \frac{103}{4} = \frac{412}{16} \)<br /> So,<br /> \( \frac{412}{16} + \frac{7}{16} - \frac{2}{16} = \frac{417}{16} - \frac{2}{16} = \frac{415}{16} \)<br /> Simplify:<br /> \( \frac{415}{16} = 25 \frac{15}{16} \)<br /><br />2. \( 30 \frac{3}{4}'' + \frac{3}{16}'' - \frac{1}{8}'' \)<br /> - Convert mixed numbers and fractions to improper fractions:<br /> \( 30 \frac{3}{4} = 30 + \frac{3}{4} = \frac{120}{4} + \frac{3}{4} = \frac{123}{4} \)<br /> \( \frac{3}{16} \)<br /> \( \frac{1}{8} = \frac{2}{16} \)<br /> - Perform the addition and subtraction:<br /> \( \frac{123}{4} + \frac{3}{16} - \frac{2}{16} \)<br /> Convert \(\frac{123}{4}\) to a common denominator of 16:<br /> \( \frac{123}{4} = \frac{492}{16} \)<br /> So,<br /> \( \frac{492}{16} + \frac{3}{16} - \frac{2}{16} = \frac{495}{16} - \frac{2}{16} = \frac{493}{16} \)<br /> Simplify:<br /> \( \frac{493}{16} = 30 \frac{13}{16} \)<br /><br />3. \( 34 \frac{3}{4}'' + \frac{3}{16}'' - \frac{1}{8}'' \)<br /> - Convert mixed numbers and fractions to improper fractions:<br /> \( 34 \frac{3}{4} = 34 + \frac{3}{4} = \frac{136}{4} + \frac{3}{4} = \frac{139}{4} \)<br /> \( \frac{3}{16} \)<br /> \( \frac{1}{8} = \frac{2}{16} \)<br /> - Perform the addition and subtraction:<br /> \( \frac{139}{4} + \frac{3}{16} - \frac{2}{16} \)<br /> Convert \(\frac{139}{4}\) to a common denominator of 16:<br /> \( \frac{139}{4} = \frac{556}{16} \)<br /> So,<br /> \( \frac{556}{16} + \frac{3}{16} - \frac{2}{16} = \frac{559}{16} - \frac{2}{16} = \frac{557}{16} \)<br /> Simplify:<br /> \( \frac{557}{16} = 34 \frac{13}{16} \)<br /><br />4. \( 28 \frac{3}{4}'' + \frac{7}{16}'' - \frac{1}{8}'' \)<br /> - Convert mixed numbers and fractions to improper fractions:<br /> \( 28 \frac{3}{4} = 28 + \frac{3}{4} = \frac{112}{4} + \frac{3}{4} = \frac{115}{4} \)<br /> \( \frac{7}{16} \)<br /> \( \frac{1}{8} = \frac{2}{16} \)<br /> - Perform the addition and subtraction:<br /> \( \frac{115}{4} + \frac{7}{16} - \frac{2}{16} \)<br /> Convert \(\frac{115}{4}\) to a common denominator of 16:<br /> \( \frac{115}{4} = \frac{460}{16} \)<br /> So,<br /> \( \frac{460}{16} + \frac{7}{16} - \frac{2}{16} = \frac{467}{16} - \frac{2}{16} = \frac{465}{16} \)<br /> Simplify:<br /> \( \frac{465}{16} = 29 \frac{1}{16} \)<br /><br />Comparing all the results:<br />- \( 25 \frac{15}{16} \)<br />- \( 30 \frac{13}{16} \)<br />- \( 34 \frac{13}{16} \)<br />- \( 29 \frac{1}{16} \)<br /><br />The correct answer is \( 29 \frac{1}{16} \), which corresponds to the fourth option:<br />\[ 28 \frac{3}{4}'' + \frac{7}{16}'' - \frac{1}{8}'' \]<br /><br />So, the correct answer is:<br />\[ \boxed{28 \frac{3}{4}'' + \frac{7}{16}'' - \frac{1}{8}''} \]