ms. laurent is driving to the city to listen to a flute concert. the flute concert is $17\\frac{72}{100}$…

ms. laurent is driving to the city to listen to a flute concert. the flute concert is $17\\frac{72}{100}$ kilometers away. when she stops to pick up a friend, ms. laurent has gone $7\\frac{91}{100}$ kilometers. how much farther is there to go? simplify the answer if possible.\n\na $19\\frac{83}{100}$ km\nb $9\\frac{81}{100}$ km\nc $10\\frac{81}{100}$ km\nd $9\\frac{9}{10}$ km

ms. laurent is driving to the city to listen to a flute concert. the flute concert is $17\\frac{72}{100}$ kilometers away. when she stops to pick up a friend, ms. laurent has gone $7\\frac{91}{100}$ kilometers. how much farther is there to go? simplify the answer if possible.\n\na $19\\frac{83}{100}$ km\nb $9\\frac{81}{100}$ km\nc $10\\frac{81}{100}$ km\nd $9\\frac{9}{10}$ km

Answer

Explanation:

Step1: Convert mixed - numbers to improper fractions

$17\frac{72}{100}=\frac{17\times100 + 72}{100}=\frac{1700+72}{100}=\frac{1772}{100}$ and $7\frac{91}{100}=\frac{7\times100 + 91}{100}=\frac{700 + 91}{100}=\frac{791}{100}$

Step2: Subtract the two fractions

$\frac{1772}{100}-\frac{791}{100}=\frac{1772 - 791}{100}=\frac{981}{100}$

Step3: Convert the improper fraction back to a mixed - number

$981\div100 = 9\cdots\cdots81$, so $\frac{981}{100}=9\frac{81}{100}$

Answer:

B. $9\frac{81}{100}$ km