Answer:
2.4375
Explanation:
To convert the mixed number 2 7/16 to a decimal using long division, follow these steps:
1. Rewrite the mixed number as an improper fraction. In this case, 2 7/16 can be written as (2 * 16 + 7) / 16 = 39/16.
2. Perform the long division by dividing the numerator (39) by the denominator (16).
3. Start by dividing 39 by 16. The quotient is 2, so write 2 above the line.
4. Multiply the divisor (16) by the quotient (2) and subtract the result (32) from the dividend (39). Write the remainder (7) below the line.
5. Since the remainder is not zero, bring down the next digit from the dividend (0). Write it after the remainder.
6. Divide 70 by 16. The quotient is 4, so write 4 above the line.
7. Multiply the divisor (16) by the quotient (4) and subtract the result (64) from the dividend (70). Write the remainder (6) below the line.
8. Since the remainder is not zero, bring down the next digit from the dividend (0). Write it after the remainder.
9. Divide 60 by 16. The quotient is 3, so write 3 above the line.
10. Multiply the divisor (16) by the quotient (3) and subtract the result (48) from the dividend (60). Write the remainder (12) below the line.
11. Since the remainder is not zero, bring down the next digit from the dividend (0). Write it after the remainder.
12. Divide 40 by 16. The quotient is 2, so write 2 above the line.
13. Multiply the divisor (16) by the quotient (2) and subtract the result (32) from the dividend (40). Write the remainder (8) below the line.
14. Since the remainder is now zero, the long division process is complete.
15. The result is 2.4375.
Therefore, 2 7/16 is equal to 2.4375 as a decimal.