Use long division to convert 5 3/16 to a decimal. 1 point

Answer 1

To convert 5 3/16 to a decimal using long division, follow these steps:

Step 1: Rewrite the mixed number as an improper fraction:
5 3/16 = (5 * 16 + 3) / 16 = 83/16

Step 2: Perform the long division:

5. 3 Remainder
________________________
16 | 83
- 80
______
3

The quotient is 5.3 with a remainder of 3.

Step 3: Express the remainder as a fraction over the denominator:
3/16

Step 4: Add the quotient and the fractional remainder:
5.3 + 3/16 = 5.3 + 0.1875

Step 5: Add the decimal and fraction:
5.3 + 0.1875 = 5.4875

Therefore, 5 3/16 is equal to 5.4875 when expressed as a decimal.