Lin 5 ent $$ 2 \frac{7}{2} $$ hours on beth math and andra rode her bike $$ 9 \frac{1}{3} $$ miles on Monday and $$ 6 \frac{4}{5} $$ miles on Tuesday How many more miles did ee ride on Monday than on Tuesday?

Question

UpStudy AI · Accepted Answer

It looks like you're trying to determine how many more miles Andra rode her bike on Monday compared to Tuesday. Let's break it down step by step.

**Given:**
- **Monday:** Andra rode $$ 9 \frac{1}{3} $$ miles.
- **Tuesday:** Andra rode $$ 6 \frac{4}{5} $$ miles.

**Objective:**
Find out how many more miles Andra rode on Monday than on Tuesday.

---

### Step 1: Convert Mixed Numbers to Improper Fractions

To make the subtraction easier, let's convert the mixed numbers to improper fractions.

1. **Monday's Distance:**
   $$
   9 \frac{1}{3} = \frac{(9 \times 3) + 1}{3} = \frac{27 + 1}{3} = \frac{28}{3}
   $$

2. **Tuesday's Distance:**
   $$
   6 \frac{4}{5} = \frac{(6 \times 5) + 4}{5} = \frac{30 + 4}{5} = \frac{34}{5}
   $$

---

### Step 2: Subtract Tuesday's Distance from Monday's Distance

Now, subtract the two distances to find the difference.

$$
\frac{28}{3} - \frac{34}{5}
$$

To subtract these fractions, they need a common denominator. The least common denominator (LCD) of 3 and 5 is 15.

1. **Convert Both Fractions to Have a Denominator of 15:**
   $$
   \frac{28}{3} = \frac{28 \times 5}{3 \times 5} = \frac{140}{15}
   $$
   $$
   \frac{34}{5} = \frac{34 \times 3}{5 \times 3} = \frac{102}{15}
   $$

2. **Now Subtract:**
   $$
   \frac{140}{15} - \frac{102}{15} = \frac{140 - 102}{15} = \frac{38}{15}
   $$

---

### Step 3: Convert the Result Back to a Mixed Number

$$
\frac{38}{15} = 2 \frac{8}{15}
$$

**Interpretation:**
Andra rode $$ 2 \frac{8}{15} $$ more miles on Monday than on Tuesday.

---

**Final Answer:**  
Andra rode **$$ 2 \frac{8}{15} $$** more miles on Monday than on Tuesday.
Andra rode $$ 2 \frac{8}{15} $$ more miles on Monday than on Tuesday.

Lin 5 ent hours on beth math and
andra rode her bike miles on Monday and miles on Tuesday How many more miles did
ee ride on Monday than on Tuesday?

Solución de inteligencia artificial de Upstudy

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Solución

Step 1: Convert Mixed Numbers to Improper Fractions

Step 2: Subtract Tuesday’s Distance from Monday’s Distance

Step 3: Convert the Result Back to a Mixed Number

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Lin 5 ent hours on beth math and andra rode her bike miles on Monday and miles on Tuesday How many more miles did ee ride on Monday than on Tuesday?