3/16 as a Decimal

Answer

3/16 in decimals can be written as 0.1875. It is a terminating decimal, meaning it does not repeat and ends after a few digits.

Explanation

To get 3/16 in decimal, we will use the division method. Here, as 3 is smaller than 16, we will use the decimal method to get 0.1875. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: As 3 is smaller than 16, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 3 as 30, and add a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 16. Let's see how many times 16 fits into 30.

Step 4: 30 is not a multiple of 16, so we will look for the nearest number: 16 × 1 = 16. We will write 1 in the quotient place, subtract 16 from 30 to get 14, and bring down another 0 to make it 140.

Step 5: 16 fits into 140 eight times (16 × 8 = 128). Write 8 in the quotient, and subtract 128 from 140, which gives 12. Bring down another 0 to make it 120.

Step 6: 16 fits into 120 seven times (16 × 7 = 112). Write 7 in the quotient, and subtract 112 from 120, which gives 8. Bring down another 0 to make it 80.

Step 7: 16 fits into 80 five times (16 × 5 = 80). Write 5 in the quotient, and subtract 80 from 80, which gives 0. The division process ends here as the remainder is 0.

The answer for 3/16 as a decimal will be 0.1875.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.