To convert the improper fraction 21/8 into a mixed number, you follow a straightforward process. Here’s how to do it:
- Divide the numerator by the denominator. In this case, you divide 21 by 8.
- When you perform the division 21 ÷ 8, you find that 8 goes into 21 a total of 2 times, since 8 × 2 = 16.
- Determine the remainder. After multiplying, you subtract 16 from 21 to find the remainder: 21 – 16 = 5.
- Combine the whole number and the fraction. The whole number 2 comes from the division, and the fraction is formed using the remainder and the original denominator. Here, the remainder is 5 and the denominator is 8.
So, when you put it all together, 21/8 as a mixed number is 2 5/8.
This mixed number not only simplifies the fraction but also makes it more understandable, especially in practical scenarios like cooking or measuring.