https://r2.erweima.ai/mathbot/image/17230486252294f6ytch5.jpg

The uploaded image contains a mathematical problem asking to convert the mixed fraction \( 17 \frac{13}{21} \) into an improper fraction.

To convert a mixed fraction to an improper fraction, you use the formula:

\[ \text{Improper Fraction} = \left(\text{Whole Number} \times \text{Denominator}\right) + \text{Numerator} \]

Here are the steps for converting \( 17 \frac{13}{21} \):

1. Identify the whole number, which is \( 17 \).
2. Identify the numerator of the fractional part, which is \( 13 \).
3. Identify the denominator of the fractional part, which is \( 21 \).

Now apply the formula:

\[ \text{Improper Fraction} = (17 \times 21) + 13 \]

Calculate the multiplication and addition:

\[ 17 \times 21 = 357 \]
\[ 357 + 13 = 370 \]

So the improper fraction is:

\[ \frac{370}{21} \]

Thus, \( 17 \frac{13}{21} \) as an improper fraction is \( \frac{370}{21} \).

Would you like any further details or have any questions?

Here are some related questions to expand on this topic:

1. How do you convert an improper fraction back to a mixed fraction?
2. Can you simplify the fraction \( \frac{370}{21} \)?
3. What is the decimal equivalent of \( 17 \frac{13}{21} \)?
4. How do you add and subtract mixed fractions?
5. What are some real-life applications of mixed and improper fractions?
6. How do you multiply and divide mixed fractions?
7. How do you handle mixed fractions in algebraic equations?
8. What are the common mistakes to avoid when converting between mixed and improper fractions?

**Tip:** When converting mixed fractions to improper fractions, ensure you always multiply the whole number by the denominator before adding the numerator for accurate results.

Learn how to convert the mixed fraction 17 13/21 to an improper fraction using a detailed step-by-step solution. This problem covers key concepts of fractions, mixed fractions, and their conversion. 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