To multiply the fraction \( \frac{10}{11} \) by the mixed number \( 1 \frac{7}{15} \), follow these steps:

### Step 1: Convert the Mixed Number to an Improper Fraction
- \( 1 \frac{7}{15} \) can be converted as follows:
\[ 1 \frac{7}{15} = \frac{15 \times 1 + 7}{15} = \frac{22}{15} \]

### Step 2: Multiply the Fractions
Now multiply \( \frac{10}{11} \) by \( \frac{22}{15} \):
\[ \frac{10}{11} \times \frac{22}{15} = \frac{10 \times 22}{11 \times 15} = \frac{220}{165} \]

### Step 3: Simplify the Fraction
- Find the greatest common divisor (GCD) of 220 and 165, which is 55:
\[ \frac{220 \div 55}{165 \div 55} = \frac{4}{3} \]

### Step 4: Convert to a Mixed Number (if needed)
- \( \frac{4}{3} = 1 \frac{1}{3} \)

So, \( \frac{10}{11} \times 1 \frac{7}{15} = 1 \frac{1}{3} \).

Would you like more details or have any questions?

Here are 8 related questions you might find useful:
1. How do you find the greatest common divisor (GCD) of two numbers?
2. What are the steps to multiply a fraction by a mixed number?
3. How do you convert a mixed number to an improper fraction?
4. How do you simplify a fraction?
5. How do you convert an improper fraction to a mixed number?
6. How do you multiply two fractions?
7. What is a shortcut to simplify fractions during multiplication?
8. How do you divide a fraction by a mixed number?

**Tip:** Always simplify fractions at each step if possible, to keep the calculations easier to manage.

Learn how to multiply the fraction 10/11 by the mixed number 1 7/15 step-by-step. This problem covers key concepts in fractions and multiplication of fractions. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation