15 12 As A Mixed Number

15/12 as a Mixed Number: A Step-by-Step Guide

This article explains how to convert the improper fraction 15/12 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 clearly and simply, perfect for students and anyone looking to brush up on their fraction skills.

What is a Mixed Number?

A mixed number combines a whole number and a proper fraction. A proper fraction is one where the numerator (top number) is smaller than the denominator (bottom number). For example, 1 ¾ is a mixed number: 1 is the whole number, and ¾ is the proper fraction.

Converting 15/12 to a Mixed Number

The improper fraction 15/12 means 15 divided by 12. To convert it to a mixed number, we perform the division:

1. Divide the numerator by the denominator: 15 ÷ 12 = 1 with a remainder of 3.

2. The whole number part of your mixed number is the quotient: The quotient from our division is 1. This becomes the whole number part of our mixed number.

3. The fraction part of your mixed number uses the remainder as the numerator and the original denominator: The remainder is 3, and the original denominator was 12. Therefore, the fraction part is 3/12.

4. Simplify the fraction (if possible): The fraction 3/12 can be simplified. Both the numerator and denominator are divisible by 3. 3 ÷ 3 = 1 and 12 ÷ 3 = 4. So, 3/12 simplifies to ¼.

5. Combine the whole number and simplified fraction: Putting it all together, the mixed number equivalent of 15/12 is 1 ¼.

Therefore, 15/12 expressed as a mixed number is 1 ¼.

Understanding the Process: Why it Works

This method works because it represents the division of the numerator by the denominator. The whole number signifies how many times the denominator goes into the numerator completely. The remaining fraction represents the part of the denominator that didn't divide completely.

Practical Applications

Converting improper fractions to mixed numbers is essential in many real-world situations and mathematical problems. For instance, imagine you have 15 slices of pizza and each pizza has 12 slices. Converting 15/12 to 1 ¼ tells you that you have one whole pizza and a quarter of another.

Further Practice

Try converting other improper fractions to mixed numbers to solidify your understanding. This will help you build confidence and proficiency in working with fractions. Remember to always simplify the resulting fraction to its lowest terms. This ensures your answer is in its most concise form.