Solve this problem. Reduce to lowest terms.
Michelle walks 3 1 half miles a day. How far does she walk in one week if she walks every day?
To find how far Michelle walks in one week, we need to multiply the distance she walks in one day by the number of days in a week.
First, let's express 3 1/2 as an improper fraction. We find that 1/2 is equal to 2/4. So, 3 1/2 is equivalent to (3 * 2) + 1/2 = 6/2 + 1/2 = 7/2.
Now, let's multiply 7/2 by 7 (the number of days in a week). (7/2) * 7 = 49/2.
To simplify the fraction 49/2 to its lowest terms, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 1. 49/2 ÷ 1 = 49/2.
Therefore, Michelle walks 49/2 miles in one week.
To find out how far Michelle walks in one week, we need to multiply the number of miles she walks in a day by the number of days in a week.
Given that Michelle walks 3 1/2 miles a day, we need to convert the mixed number 3 1/2 into an improper fraction.
\[\text{Mixed number } \to \text{ Improper fraction}\]
\[3 \text{ whole } + 1/2 = \frac{3 \times 2 + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2}\]
So, Michelle walks $\frac{7}{2}$ miles in one day.
Next, we need to multiply this distance by the number of days in a week, which is 7.
\[\frac{7}{2} \times 7 = \frac{7 \times 7}{2}\]
Multiplying the numerators and denominators, we get:
\[\frac{49}{2}\]
However, we need to express this distance in lowest terms (also known as simplifying the fraction).
To simplify the fraction $\frac{49}{2}$, we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 1 in this case:
\[\frac{\cancelto{1}{49}}{\cancel{2}} = \frac{49}{2}\]
Therefore, Michelle walks a total of 24 1/2 miles in one week.
To solve the problem, we need to find the total distance Michelle walks in one week.
First, let's convert the mixed number 3 1/2 to an improper fraction. To do this, multiply the whole number (3) by the denominator (2) and add the numerator (1). This gives us:
3 * 2 + 1 = 7
The numerator of the improper fraction is 7, and the denominator remains the same: 2. So we have 7/2.
Since Michelle walks 7/2 miles per day, we can now calculate the total distance she walks in one week by multiplying it by 7 (the number of days in a week).
7/2 * 7 = 49/2 miles
However, the problem asks us to reduce the fraction to its lowest terms. To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.
49/2 ÷ 1/1 = 49/2
Therefore, the answer is that Michelle walks 49/2 miles in one week.