21/16 as a Decimal

Answer

21/16 in decimals can be written as 1.3125. It is a terminating decimal, meaning it ends after a certain number of decimal places.

Explanation

To convert 21/16 to a decimal, we will use the division method. Here, since 21 is greater than 16, we can directly proceed with the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator, because the numerator (21) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: Since 21 is greater than 16, we can directly divide. 21 divided by 16 gives 1 with a remainder of 5.

Step 3: Add a decimal point and bring down a zero to make the remainder 50.

Step 4: Divide 50 by 16, giving 3. 16 multiplied by 3 equals 48. Subtract 48 from 50, leaving a remainder of 2.

Step 5: Bring down another zero to make it 20, then divide 20 by 16, giving 1. 16 multiplied by 1 equals 16. Subtract 16 from 20, leaving a remainder of 4.

Step 6: Bring down another zero, making it 40. Divide 40 by 16, getting 2. 16 multiplied by 2 equals 32. Subtract 32 from 40, leaving a remainder of 8.

Step 7: Bring down another zero to make 80. Divide 80 by 16, giving 5. 16 multiplied by 5 equals 80, leaving no remainder. The division process stops here as we have no remainder, indicating a terminating decimal.

Therefore, 21/16 as a decimal is 1.3125.

• 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.