bot Use long division to convert 5 3/16 to a decimal.
To convert 5 3/16 to a decimal, we can use long division as follows:
5.1875
______________
16 | 83
- 80
____
30
- 16
____
140
- 128
_____
12
5 3/16 as a decimal is 5.1875.
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 = (80 + 3) / 16 = 83/16
Step 2: Perform long division.
Set up the division problem: 83 รท 16
5. (quotient)
______
16 | 83
80 (16 * 5)
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3
Step 3: Bring down the next digit (0) and continue dividing.
Add a decimal point to the quotient.
5. 0
Perform the next division:
16 | 30 (multiply the divisor, 16, by the quotient, 5, and subtract from the previous dividend)
16
---
14
Step 4: Divide the new dividend.
Bring down the next digit (0).
16 | 140 (multiply the divisor, 16, by the quotient, 5, and subtract from the previous dividend)
128
---
12
Bring down the next digit (0).
16 | 120 (multiply the divisor, 16, by the quotient, 5, and subtract from the previous dividend)
112
---
8
Step 5: Continue until you reach the desired level of accuracy.
Since there's no more remaining digits to bring down, we have our final quotient.
5.1875
Therefore, 5 3/16 as a decimal is approximately 5.1875.