To determine how many hours Maria runs each Saturday, follow these steps:
1. Convert the mixed number [tex]\( 1 \frac{5}{6} \)[/tex] to an improper fraction:
[tex]\[
1 \frac{5}{6} = 1 + \frac{5}{6}
\][/tex]
Convert the whole number 1 to a fraction with a denominator of 6:
[tex]\[
1 = \frac{6}{6}
\][/tex]
Now, add the fractions:
[tex]\[
\frac{6}{6} + \frac{5}{6} = \frac{11}{6}
\][/tex]
So, [tex]\(1 \frac{5}{6} = \frac{11}{6}\)[/tex].
2. Convert the improper fraction to a decimal to make further calculations easier:
[tex]\[
\frac{11}{6} \approx 1.8333 \ldots
\][/tex]
3. Determine the fraction of time Maria spends running:
[tex]\[
\frac{3}{4}
\][/tex]
4. Multiply the total exercise time by the fraction of time spent running to find the hours she spends running:
[tex]\[
1.8333 \ldots \times 0.75 = 1.375
\][/tex]
Thus, Maria runs for approximately 1.375 hours each Saturday.
