what fraction is equivalent to 4 12?
The Correct Answer and Explanation is:
The expression 4 12 appears to be incomplete or unclear. If you meant 4 1/2 (a mixed number), then its equivalent fraction is:412=924 \frac{1}{2} = \frac{9}{2}421=29
Explanation:
When working with mixed numbers, the goal is often to convert them into improper fractions. A mixed number consists of a whole number and a fractional part. For example, in the number 4 1/2, the whole number is 4 and the fractional part is 1/2.
To convert a mixed number to an improper fraction, follow these steps:
- Multiply the whole number by the denominator of the fraction.
In this case, the whole number is 4 and the denominator is 2: 4×2=84 \times 2 = 84×2=8 - Add the result to the numerator of the fractional part.
The numerator is 1: 8+1=98 + 1 = 98+1=9 - Place this sum over the original denominator. 92\frac{9}{2}29
So, 4 1/2 is equal to 9/2.
Why do we use improper fractions?
Improper fractions are useful in mathematical operations such as addition, subtraction, multiplication, and division. While mixed numbers are easier to interpret in practical situations, improper fractions are better suited for algebraic manipulation and advanced calculations.
To further understand equivalence, remember that two numbers are equivalent if they represent the same value or quantity. In this case, 4 1/2 and 9/2 both represent the same point on the number line. Therefore, they are equivalent even though they look different.
