Answer:
Explanation:
To convert a mixed number to an improper fraction, follow these steps:
1. Multiply the whole number by the denominator of the fraction.
2. Add the result to the numerator of the fraction.
3. Place the sum over the original denominator.
For example, let's say we have the mixed number 3 1/2:
1. Multiply the whole number, 3, by the denominator, 2: 3 * 2 = 6.
2. Add the result to the numerator, 1: 6 + 1 = 7.
3. Place the sum, 7, over the original denominator, 2.
Therefore, the improper fraction equivalent of 3 1/2 is 7/2.
To convert the improper fraction to a decimal, divide the numerator by the denominator. In this case, divide 7 by 2: 7 ÷ 2 = 3.5.
To determine whether the decimal is terminating or repeating, we look at the decimal representation. In this case, the decimal is 3.5, which terminates. A terminating decimal is a decimal that has a finite number of digits after the decimal point.
So, the mixed number 3 1/2 can be written as the improper fraction 7/2 and as the decimal 3.5, which is a terminating decimal.