Final answer:
The expression that is not equivalent to 4 x 3/8 is 1/2.
Explanation:
In order to find the equivalent expression, we need to simplify the given expression. Firstly, we can rewrite the expression 4 x 3/8 as a fraction by writing 4 as 4/1. This gives us (4/1) x (3/8). We can then multiply the numerators (4 x 3) and the denominators (1 x 8) to get 12/8.
Now, in order to find the equivalent expression, we need to simplify the fraction 12/8. We can do this by finding the greatest common factor (GCF) of the numerator and denominator, which in this case is 4. Dividing 12 by 4 gives us 3, and dividing 8 by 4 gives us 2. Therefore, the simplified fraction is 3/2.
This means that the equivalent expression is 3/2 or 1 1/2. However, the expression 1/2 is not equivalent to 4 x 3/8 because it is a different value. In order to prove this, we can convert 1/2 to an equivalent fraction with a denominator of 8. We can do this by multiplying both the numerator and denominator by 4, giving us 4/8.
Now, we can see that 4/8 is not equal to 3/2. In fact, 4/8 is equivalent to 4 x 1/8, which is a different expression than the given one, 4 x 3/8. Therefore, we can conclude that the expression 1/2 is not equivalent to 4 x 3/8.
In summary, the expression that is not equivalent to 4 x 3/8 is 1/2. This can be proven by simplifying the given expression and finding the GCF, which leads to the simplified fraction of 3/2. Converting 1/2 to an equivalent fraction shows that it is not equal to 3/2, therefore making it not equivalent to 4 x 3/8. It is important to simplify fractions and find equivalent expressions in order to accurately solve mathematical problems.
Complete Question:
Which expression is not equivalent to 4 x 3/8, and how is this determined through the process of simplifying the given expression and finding the equivalent fraction?