Use long division to convert 3/16 to a decimal.
To convert 3/16 to a decimal using long division, follow these steps:
1. Set up the division problem by writing 3 as the numerator inside the long division bar, and 16 as the denominator outside the bar.
____
16| 3
2. Begin dividing. Ask yourself, "How many times does 16 go into 3?" Since 16 is larger than 3, the answer is 0. Write 0 above the bar, next to the 3.
0
____
16| 3
3. Multiply the 0 by 16, and write the product (0) below the 3.
0
____
16| 3
0
4. Subtract the product (0) from the original number (3). Write the difference (-3) below the line.
0
______
16| 3
0
-3
5. Bring down the next digit, which is 0, next to the difference (-3). This creates the new dividend, -30.
0
______
16| 3
0
-3
-30
6. Repeat the process. Ask yourself, "How many times does 16 go into -30?" The answer is once, as 16 multiplied by -2 equals -32. Write 1 above the line.
01
______
16| 3
0
-3
-30
7. Multiply the 1 by 16, and write the product (16) below the line.
01
______
16| 3
0
-3
-30
16
8. Subtract the product (16) from the dividend (-30). Write the difference (-14) below the line.
01
______
16| 3
0
-3
-30
16
-14
9. Bring down the next digit, which is 0, next to the difference (-14). This creates the new dividend, -140.
01
______
16| 3
0
-3
-30
16
-14
-140
10. Repeat the process. Ask yourself, "How many times does 16 go into -140?" The answer is 8, as 16 multiplied by -9 equals -144. Write 8 above the line.
018
______
16| 3
0
-3
-30
16
-14
-140
11. Multiply the 8 by 16, and write the product (128) below the line.
018
______
16| 3
0
-3
-30
16
-14
-140
128
12. Subtract the product (128) from the dividend (-140). Write the difference (-12) below the line.
018
______
16| 3
0
-3
-30
16
-14
-140
128
-12
13. You have obtained a remainder of -12. Since the remainder is negative, there will be a negative sign in the decimal representation as well.
14. The result is 0.1875.
Therefore, 3/16 as a decimal using long division is -0.1875.
To convert 3/16 to a decimal using long division, follow these steps:
Step 1: Divide the numerator (3) by the denominator (16).
______
16 ) 3
Step 2: Since 3 is less than 16, add a decimal point after the 3 and append a zero to continue the division.
0._____
16 ) 3.0
Step 3: Divide 30 by 16 (ignoring the decimal point).
1._____
16 ) 3.0
- 32
----
-2
Step 4: Bring down the next digit, which is a zero, to the right of the -2.
1._____
16 ) 3.00
- 32
----
-20
Step 5: Continue dividing 200 by 16.
1.8____
16 ) 3.00
- 32
----
-20
----
-80
Step 6: Bring down another zero to the right of -80.
1.88____
16 ) 3.00
- 32
----
-20
----
-80
----
-80
Step 7: Since we get a remainder of 0, the division is complete.
Step 8: The result is 0.188 or 0.1875 (rounded to four decimal places).