What is
15
2
simplified into a correct fraction?
The Correct Answer and Explanation is :
To simplify the expression ( \frac{15}{2} ) into a correct fraction, we can start by recognizing that this fraction is already in its simplest form. However, let’s break it down and understand the process of simplification and what it means for a fraction to be in its simplest form.
Understanding Fractions
A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number). In this case, ( 15 ) is the numerator and ( 2 ) is the denominator. The fraction ( \frac{15}{2} ) represents the division of ( 15 ) by ( 2 ).
Simplifying Fractions
A fraction is in its simplest form when the numerator and the denominator have no common factors other than ( 1 ). To check if ( \frac{15}{2} ) can be simplified further, we need to look for common factors.
- Factors of 15: The factors of ( 15 ) are ( 1, 3, 5, 15 ).
- Factors of 2: The factors of ( 2 ) are ( 1, 2 ).
The only common factor between ( 15 ) and ( 2 ) is ( 1 ). This means that ( \frac{15}{2} ) cannot be simplified any further because there are no other common factors.
Converting to Mixed Numbers
While ( \frac{15}{2} ) is in simplest form, it can also be expressed as a mixed number. To convert it, we divide the numerator by the denominator:
- ( 15 \div 2 = 7 ) with a remainder of ( 1 ).
Thus, ( \frac{15}{2} ) can be rewritten as ( 7 \frac{1}{2} ).
Conclusion
In conclusion, ( \frac{15}{2} ) is already in its simplest fractional form. It cannot be reduced further because ( 15 ) and ( 2 ) have no common factors other than ( 1 ). However, it can also be expressed as a mixed number, ( 7 \frac{1}{2} ), for those who prefer that format. Understanding how to simplify fractions and convert them to mixed numbers is an essential skill in mathematics that allows for clearer communication and understanding of numerical values.