• Table of Contents

  • Comparing Fractions: 8/9 and 5/12
  • Understanding the Basics
  • Comparing 8/9 and 5/12
  • Method 1: Finding a Common Denominator
  • Method 2: Cross-Multiplication
  • Real-World Application
  • Conclusion

Comparing Fractions: 8/9 and 5/12

When it comes to comparing fractions, it’s essential to understand the relationship between the numerator and denominator. In this article, we will delve into the comparison of two fractions: 8/9 and 5/12. By examining their properties and characteristics, we can determine which fraction is greater or if they are equal.

Understanding the Basics

Before we compare 8/9 and 5/12, let’s review some fundamental concepts of fractions. A fraction consists of two parts: the numerator (top number) and the denominator (bottom number). The numerator represents the part of the whole, while the denominator indicates the total number of equal parts that make up the whole.

Comparing 8/9 and 5/12

Now, let’s compare the fractions 8/9 and 5/12 to determine which one is greater.

Method 1: Finding a Common Denominator

One way to compare fractions is to find a common denominator.

. In this case, the least common multiple of 9 and 12 is 36. We can rewrite the fractions with a common denominator:

• 8/9 = 32/36
• 5/12 = 15/36

By comparing the numerators, we can see that 32/36 is greater than 15/36. Therefore, 8/9 is greater than 5/12.

Method 2: Cross-Multiplication

Another method to compare fractions is cross-multiplication. By multiplying the numerator of one fraction by the denominator of the other fraction, we can compare the results:

• 8 x 12 = 96
• 5 x 9 = 45

Since 96 is greater than 45, 8/9 is greater than 5/12.

Real-World Application

Understanding how to compare fractions is crucial in various real-world scenarios. For example, in cooking, you may need to adjust a recipe that calls for 5/12 cup of sugar to make a larger batch. By knowing that 8/9 is greater than 5/12, you can accurately scale the recipe to maintain the right proportions.

Conclusion

In conclusion, when comparing the fractions 8/9 and 5/12, we found that 8/9 is greater. By utilizing methods such as finding a common denominator or cross-multiplication, we can determine the relationship between fractions accurately. Understanding fractions is essential in everyday life, from cooking to budgeting. By mastering these concepts, you can make informed decisions and calculations with confidence.

For further reading on comparing fractions, you can explore this resource.