Which expression is equivalent to 24 1/3 ?
The correct answer and explanation is:
To express 24 1/3 as an improper fraction, the first step is to recognize that the mixed number consists of a whole number (24) and a fraction (1/3).
- Multiply the whole number (24) by the denominator of the fraction (3). This gives: 24×3=7224 \times 3 = 72
- Add the result (72) to the numerator of the fraction (1). This gives: 72+1=7372 + 1 = 73
- The improper fraction is now: 733\frac{73}{3}
So, the expression equivalent to 24 1/3 is 733\frac{73}{3}.
Explanation:
A mixed number, like 24 1/3, consists of two parts: a whole number and a fractional part. To convert a mixed number into an improper fraction, multiply the whole number by the denominator of the fractional part. This gives the total number of parts in the whole number. After that, add the numerator of the fraction to this result. This gives the total number of parts in the improper fraction. The denominator remains the same as that of the fractional part.
In this case, 24 represents 72 parts (since 24 multiplied by 3 is 72), and the 1/3 adds one more part, making the total 73 parts. Therefore, 24 1/3 is equal to 733\frac{73}{3}, an improper fraction.
This process ensures that a mixed number can be handled in calculations involving fractions, making it easier to perform operations like addition, subtraction, or multiplication.