To determine how many hours Maria runs each Saturday, we start by figuring out the time she spends exercising and then take [tex]\(\frac{3}{4}\)[/tex] of that time.
1. Convert the time Maria exercises to a decimal:
Maria exercises for [tex]\(1 \frac{5}{6}\)[/tex] hours. We can convert this mixed number to an improper fraction and then a decimal value:
[tex]\[
1 \frac{5}{6} = 1 + \frac{5}{6} = 1 + 0.8333\ldots \approx 1.8333
\][/tex]
So, Maria exercises for approximately [tex]\(1.8333\)[/tex] hours every Saturday.
2. Calculate [tex]\( \frac{3}{4} \)[/tex] of Maria’s exercise time:
To find out how long she runs, we multiply [tex]\(1.8333\)[/tex] by [tex]\(\frac{3}{4}\)[/tex]:
[tex]\[
1.8333 \times \frac{3}{4} = 1.375
\][/tex]
Therefore, Maria runs for approximately [tex]\(1.375\)[/tex] hours each Saturday.
3. Convert [tex]\(1.375\)[/tex] hours to a mixed number:
The decimal [tex]\(1.375\)[/tex] can be converted back to a mixed number. We need to express [tex]\(0.375\)[/tex] as a fraction:
[tex]\[
0.375 = \frac{3}{8}
\][/tex]
Therefore, [tex]\(1.375\)[/tex] in mixed number format is:
[tex]\[
1 \frac{3}{8}
\][/tex]
4. Match the calculated running time with the given options:
Let's look at the provided choices:
A) [tex]\( 1 \frac{1}{12} \)[/tex]
B) [tex]\( 1 \frac{1}{8} \)[/tex]
C) [tex]\( 1 \frac{3}{8} \)[/tex]
D) [tex]\( 1 \frac{1}{2} \)[/tex]
Based on our calculation, the correct answer is:
[tex]\[
\boxed{C \; 1 \frac{3}{8}}
\][/tex]
