Use long division to convert 3/16 to a decimal
WRITE FRACTIONS AS DECIMALS PRACTICE
To convert 3/16 to a decimal using long division, follow these steps:
1. Recall that long division is a method of dividing two numbers to find the decimal representation of a fraction.
2. Divide the numerator (3) by the denominator (16). Place the quotient (result of division) above the bar and place the remainder (0) below the bar to start the long division.
0.1875 → quotient
_______________
16 ) 3.0000
0
-----
30 → remainder placeholder
3. Since we have a 0 remainder, we know that the division is completed. The quotient forms the decimal representation of the fraction.
Therefore, 3/16 as a decimal is 0.1875.
To convert 3/16 to a decimal using long division, follow these steps:
1. Start by dividing 3 by 16. Write down the quotient (the whole number part) on top and the remainder below.
0.1875
__________
16 | 3
2. Multiply the remainder (3) by 10 to move the decimal point one place to the right. Write down the result under the remaining digits of the dividend.
0.1875
__________
16 | 30
3. Divide the new number (30) by 16. Write down the quotient on top and the remainder below.
0.1875
__________
16 | 30
16
---
14
4. Repeat step 2 and 3 until you either get a zero remainder or you reach the desired level of decimal precision. In this case, the division doesn't terminate and has a recurring pattern, so we will stop after a few decimal places.
0.1875
__________
16 | 30
16
---
14
16
---
-20
5. The final decimal representation of 3/16 is approximately 0.1875.