How do I make 24/9 into a mixed number
The Correct Answer and Explanation is:
To convert the improper fraction 24/9 into a mixed number, follow these steps:
Step 1: Divide the numerator (24) by the denominator (9).
You need to divide 24 by 9. When you perform the division, you get:
24÷9=2 remainder 624 \div 9 = 2 \text{ remainder } 624÷9=2 remainder 6
This means 24 can be broken down into: 24=2×9+624 = 2 \times 9 + 624=2×9+6
Step 2: Write the quotient as the whole number.
The quotient from the division is 2, which is the whole number part of the mixed number.
Step 3: Write the remainder as the numerator of the fraction.
The remainder from the division is 6. This becomes the numerator of the fraction part of the mixed number, with the original denominator (9) remaining the same.
Thus, the mixed number form of 24/9 is: 2692 \frac{6}{9}296
Step 4: Simplify the fraction if possible.
Now, look at the fraction 6/9. This fraction can be simplified by finding the greatest common divisor (GCD) of 6 and 9, which is 3. Divide both the numerator and the denominator by 3: 69=6÷39÷3=23\frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3}96=9÷36÷3=32
So, the mixed number 2 6/9 simplifies to 2 2/3.
Final Answer:
The mixed number form of 24/9 is 2 2/3.
Explanation:
A mixed number is made up of a whole number and a proper fraction. Converting an improper fraction like 24/9 involves dividing the numerator by the denominator, taking the quotient as the whole number, and using the remainder as the numerator of the fraction part. Simplifying the fraction helps present the mixed number in its simplest form.
