Write the improper fraction (53)/(12) as a mixed number.
The Correct Answer and Explanation is:
To express the improper fraction 5312\frac{53}{12}1253 as a mixed number, we need to divide the numerator by the denominator and express the result as a whole number with a remainder.
- Division Step:
Divide 53 by 12: 53÷12=4 remainder 553 \div 12 = 4 \text{ remainder } 553÷12=4 remainder 5 This means 53 can be written as 444 full groups of 12, with a leftover of 5. - Mixed Number Form:
The quotient (4) is the whole number part, and the remainder (5) becomes the numerator of the fractional part, while the denominator remains the same (12). Therefore, the mixed number is: 45124 \frac{5}{12}4125
Explanation:
When converting an improper fraction to a mixed number, the process involves the following steps:
- Step 1: Divide the numerator by the denominator. The result gives the number of complete sets (whole numbers) that the fraction represents.
- Step 2: Identify the remainder. This remainder is the “leftover” part after dividing. It is what remains when you subtract the whole number portion (quotient multiplied by the denominator) from the original numerator.
- Step 3: Write the mixed number. The mixed number consists of the whole number from the quotient, followed by the fraction formed from the remainder over the original denominator.
In our case, dividing 53 by 12 gives 4 whole groups, with 5 left over. Thus, we express the improper fraction as 45124 \frac{5}{12}4125. This is a more understandable way of representing the quantity, especially when the whole number part is significant, and the fraction indicates the remainder.
