5/12 as a Fraction: Understanding Equivalent Ratios
In mathematics, fractions are used to represent part of a whole. They consist of a numerator and a denominator, which are separated by a horizontal line or a forward slash. In this article, we will explore the fraction 5/12 and its equivalent ratios.
Definition of 5/12 as a Fraction
The fraction 5/12 represents five equal parts out of a total of twelve parts. The numerator (5) tells us how many equal parts we have, while the denominator (12) tells us how many parts the whole is divided into.
Equivalent Ratios of 5/12
Equivalent ratios are fractions that have the same value as the original fraction. They can be obtained by multiplying or dividing both the numerator and the denominator of the original fraction by the same number.
Here are some equivalent ratios of 5/12:
- 10/24 (multiply both numerator and denominator by 2)
- 15/36 (multiply both numerator and denominator by 3)
- 20/48 (multiply both numerator and denominator by 4)
Simplifying 5/12 to its Lowest Terms
To simplify a fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 5 and 12 is 1, which means that the fraction 5/12 is already in its lowest terms.
Real-World Applications of 5/12
Fractions like 5/12 are commonly used in various real-world applications, such as:
- Measuring ingredients for cooking or baking
- Measuring lengths or distances
- Calculating percentages or proportions
- Dividing a pizza or a cake among a group of people
Conclusion
In conclusion, the fraction 5/12 represents five equal parts out of a total of twelve parts. Its equivalent ratios can be obtained by multiplying or dividing both the numerator and the denominator by the same number. The fraction 5/12 is already in its lowest terms, and it has various real-world applications.
