15 7 As A Mixed Number

15/7 as a Mixed Number: A Step-by-Step Guide

This article will guide you through the process of converting the improper fraction 15/7 into a mixed number. Understanding this conversion is crucial for various mathematical operations and is a fundamental concept in fractions. We'll break down the process simply and clearly, making it easy to understand for all levels.

What is a Mixed Number?

Before we begin, let's define what a mixed number is. A mixed number combines a whole number and a proper fraction. A proper fraction is a fraction where the numerator (the top number) is smaller than the denominator (the bottom number). For example, 2 ¾ is a mixed number, combining the whole number 2 and the proper fraction ¾.

Converting 15/7 to a Mixed Number

To convert the improper fraction 15/7 into a mixed number, we need to determine how many times the denominator (7) goes into the numerator (15). We do this through division:

1. Divide the numerator by the denominator: 15 ÷ 7 = 2 with a remainder of 1.

2. The quotient becomes the whole number: The quotient, 2, becomes the whole number part of our mixed number.

3. The remainder becomes the numerator: The remainder, 1, becomes the numerator of the fractional part.

4. The denominator remains the same: The denominator, 7, stays the same in the fractional part.

Therefore, 15/7 as a mixed number is 2 1/7.

Understanding the Process Intuitively

Imagine you have 15 pieces of pizza, and you want to divide them equally among 7 friends. Each friend would receive 2 whole pizzas (7 x 2 = 14 pizzas). You would have 1 piece of pizza left over. This leftover piece represents the fraction 1/7. Thus, you have 2 whole pizzas and 1/7 of a pizza left, which is represented by the mixed number 2 1/7.

Practice Problems

To solidify your understanding, try converting these improper fractions into mixed numbers using the same method:

• 22/5
• 19/3
• 31/8

Conclusion

Converting an improper fraction like 15/7 to a mixed number is a straightforward process involving division. By understanding the steps and the underlying logic, you can confidently perform this conversion and apply it to various mathematical problems involving fractions. Remember to always divide the numerator by the denominator, use the quotient as the whole number, and the remainder as the new numerator, while keeping the denominator unchanged. This simple technique empowers you to work comfortably with both improper fractions and mixed numbers.