Question

sprinted 8 1/12 laps and then took a break by jogging 2/4 of a l grace sprint than jog? e your answer as a fraction or as a whole or mixed number. laps

Explanation:

Step1: Convert mixed number to improper fraction

The number of sprinted laps is \( 8\frac{1}{12} \). To convert it to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So, \( 8\frac{1}{12}=\frac{8\times12 + 1}{12}=\frac{96+1}{12}=\frac{97}{12} \).

Step2: Simplify the jogging fraction

The number of jogged laps is \( \frac{2}{4} \), which simplifies to \( \frac{1}{2} \). To subtract, we need a common denominator. The common denominator of 12 and 2 is 12. So, \( \frac{1}{2}=\frac{1\times6}{2\times6}=\frac{6}{12} \).

Step3: Subtract the two fractions

Now, we subtract the number of jogged laps from the number of sprinted laps: \( \frac{97}{12}-\frac{6}{12}=\frac{97 - 6}{12}=\frac{91}{12} \).

Step4: Convert back to mixed number (optional, but to match the format)

\( \frac{91}{12}=7\frac{7}{12} \) (since \( 91\div12 = 7\) with a remainder of 7).

Answer:

\( 7\frac{7}{12} \)