https://file.aiquickdraw.com/mathbot/file/1726500779631yskdg32d.jpg

The problem states:

- Myka and her dad went on a 3-day hike.
- On the first day, they hiked \( 6 \frac{1}{4} \) miles.
- On the second day, they hiked \( 4 \frac{5}{6} \) miles.
- They hiked a total of 25 miles in all three days.

We are asked to find how many miles they hiked on day 3.

### Step 1: Convert mixed numbers to improper fractions
First, convert the distances from mixed numbers to improper fractions.

1. \( 6 \frac{1}{4} = \frac{25}{4} \)
2. \( 4 \frac{5}{6} = \frac{29}{6} \)

### Step 2: Add the distances for the first two days
Now, we need to add the distances they hiked on the first two days:
\[
\frac{25}{4} + \frac{29}{6}
\]
To add these fractions, we find a common denominator. The least common denominator (LCD) of 4 and 6 is 12.

1. Convert \( \frac{25}{4} \) to \( \frac{75}{12} \).
2. Convert \( \frac{29}{6} \) to \( \frac{58}{12} \).

Now add the two fractions:
\[
\frac{75}{12} + \frac{58}{12} = \frac{133}{12}
\]

### Step 3: Subtract from the total distance
The total distance they hiked in three days is 25 miles. We subtract the sum of the first two days' distances from the total:
\[
25 - \frac{133}{12}
\]

Convert 25 to a fraction with denominator 12:
\[
25 = \frac{300}{12}
\]

Now subtract:
\[
\frac{300}{12} - \frac{133}{12} = \frac{167}{12}
\]

### Step 4: Convert the improper fraction back to a mixed number
\[
\frac{167}{12} = 13 \frac{11}{12}
\]

Thus, on the third day, they hiked \( 13 \frac{11}{12} \) miles.

---

Would you like further details or clarification on any part of this solution?

Here are 5 related questions to further your understanding:
1. How do you convert a mixed number to an improper fraction?
2. What is the least common denominator and how is it calculated?
3. How do you subtract fractions with different denominators?
4. How do you convert an improper fraction to a mixed number?
5. How can you verify the total distance hiked in this problem?

**Tip:** When dealing with fractions, always ensure that all terms have a common denominator before adding or subtracting.

Myka and her dad went on a 3-day hike. On the first day, they hiked 6 1/4 miles. On the second day, they hiked 4 5/6 miles. If Myka and her dad hiked a total of 25 miles, how many miles did they hike on day 3?

Solve a real-world word problem involving Myka and her dad hiking for 3 days, using mixed numbers and fractions. Learn how to add and subtract fractions to find how many miles they hiked on day 3.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation