What is 8/3 as a mixed number

The Correct Answer and Explanation is:

The correct answer: 83=223\frac{8}{3} = 2 \frac{2}{3}

Explanation

A mixed number is a number that combines a whole number and a proper fraction. It is typically used to express an improper fraction (a fraction where the numerator is greater than or equal to the denominator) in a more readable or practical form.

Let’s take the example: 83\frac{8}{3}

This is an improper fraction because the numerator (8) is larger than the denominator (3). To convert this to a mixed number, follow these steps:

Step 1: Divide the numerator by the denominator

Divide 8 by 3: 8÷3=2 with a remainder of 28 \div 3 = 2 \text{ with a remainder of } 2

This means 3 goes into 8 a total of 2 whole times, and 2 units are left over.

Step 2: Write the remainder as a fraction

The remainder (2) becomes the numerator of the fractional part, and the original denominator (3) stays the same. So the fractional part is: 23\frac{2}{3}

Step 3: Combine the whole number and the fraction

Put together the whole number and the fraction: 2232 \frac{2}{3}

This is the mixed number form of 83\frac{8}{3}.

Why Use Mixed Numbers?

Mixed numbers are useful in everyday life—especially in measurements, cooking, or when describing quantities that are more than one but not whole. For example, if a recipe calls for 83\frac{8}{3} cups of flour, it’s clearer to say 2 and 2/3 cups.

Conclusion

To convert 83\frac{8}{3} to a mixed number, divide 8 by 3 to get 2 whole parts and a remainder of 2. This gives you: 223\boxed{2 \frac{2}{3}}