use long division to convert 5 3/16 to a decimal
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 long division. Divide the numerator (83) by the denominator (16).
5.1875
------
16|83.00
80
----
30
16
---
140
128
---
120
112
---
80
Step 3: The remainder is 80. Add a decimal point to the quotient above and then add "0" after the decimal point.
So, 5 3/16 as a decimal is approximately 5.1875.
To convert the mixed number 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 long division by dividing the numerator (83) by the denominator (16).
5. 18
---------------
16 | 83
Step 3: Divide 83 by 16 by finding how many times 16 can go into 83 and record the quotient above the division line. Multiply the quotient (5) by the divisor (16) and write the result below the dividend (83). Subtract to find the remainder.
5. 18
---------------
16 | 83
80
________
30
Step 4: Bring down the next digit (0) and add it to the remainder (30). This gives us 300.
5. 18 7
---------------
16 | 83
80
________
30
16
________
140
Step 5: Divide 140 by 16 and repeat the process described above.
5. 18 7 8
---------------
16 | 83
80
________
30
16
________
140
128
________
120
Step 6: Repeat the process with the next digit (0) and bring it down. Divide 120 by 16.
5. 18 7 8 5
---------------
16 | 83
80
________
30
16
________
140
128
________
120
112
________
80
Step 7: Continue the process until you have the desired level of decimal places or until you notice a recurring pattern. In this case, there is no recurring pattern, so we can stop here.
Therefore, 5 3/16 as a decimal is approximately 5.1875.