Convert to a decimal.

Question

21/8
Do not round the answer.

Answer 1

To convert the fraction \( \frac{21}{8} \) to a decimal, you can perform the division of 21 by 8.

Calculating \( 21 \div 8 \):

1. 8 goes into 21 two times (because \( 8 \times 2 = 16 \)).
2. Subtract 16 from 21, which gives a remainder of 5.
3. To continue the division, you can add a decimal point and a zero, making it 50.
4. Now, 8 goes into 50 six times (because \( 8 \times 6 = 48 \)).
5. Subtract 48 from 50, which gives a remainder of 2.
6. Add another zero, making it 20.
7. Now, 8 goes into 20 two times (because \( 8 \times 2 = 16 \)).
8. Subtract 16 from 20, which gives a remainder of 4.
9. Add another zero, making it 40.
10. Now, 8 goes into 40 five times (because \( 8 \times 5 = 40 \)).
11. Subtract 40 from 40, which gives a remainder of 0.

Putting it all together, you have:

\[ \frac{21}{8} = 2.625 \]

Therefore, the decimal representation of \( \frac{21}{8} \) is \( 2.625 \).