https://file.aiquickdraw.com/mathbot/file/1729183204636s6zuacts.jpg

Let's break down and solve the problem from the image.

The given expression is:

\[
2 \frac{1}{2} \times \frac{1}{7}
\]

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 2 \frac{1}{2} \) can be converted to an improper fraction.

\[
2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}
\]

So the expression becomes:

\[
\frac{5}{2} \times \frac{1}{7}
\]

### Step 2: Multiply the fractions
To multiply fractions, multiply the numerators together and the denominators together:

\[
\frac{5}{2} \times \frac{1}{7} = \frac{5 \times 1}{2 \times 7} = \frac{5}{14}
\]

### Step 3: Simplify the result
The fraction \( \frac{5}{14} \) is already in its simplest form, so no further simplification is needed.

### Final Answer:
\[
\frac{5}{14}
\]

Would you like a more detailed explanation, or do you have any other questions?

Here are some related questions:
1. How do you convert other mixed numbers into improper fractions?
2. What are some methods for multiplying fractions with larger numbers?
3. Can you cross-cancel in fraction multiplication, and how does it help simplify?
4. How would this multiplication change if both fractions were mixed numbers?
5. What are other types of fraction operations besides multiplication?

**Tip:** Cross-canceling can make fraction multiplication easier by reducing the fractions before multiplying, helping you work with smaller numbers!

Multiply 2 1/2 × 1/7. Cross cancel if possible.

Learn how to multiply mixed numbers by fractions with this detailed example of 2 1/2 × 1/7. This step-by-step guide covers converting mixed numbers to improper fractions, cross-canceling, and multiplying fractions. Perfect for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation