6/16 as a Decimal

Answer

6/16 in decimal form can be written as 0.375. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To convert 6/16 into a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (16) will be taken as the divisor.

Step 2: As 6 is smaller than 16, it cannot be divided as a whole number. Here we will use decimals. We will add a decimal point in the quotient place and add a zero to the dividend, making it 60.

Step 3: Now that it is 60, we can divide it by 16. Let's see how many times 16 fits into 60.

Step 4: 16 goes into 60 three times because 16 × 3 = 48. We will write 3 in the quotient place and subtract 48 from 60, which gives 12.

Step 5: Bring down another 0 in the dividend place to make it 120, and then continue the division process.

Step 6: 16 goes into 120 seven times because 16 × 7 = 112. We write 7 in the quotient place and subtract 112 from 120, which gives 8.

Step 7: Bring down another 0 to make it 80, and divide again.

Step 8: 16 goes into 80 five times because 16 × 5 = 80. We write 5 in the quotient place, and subtracting 80 from 80 gives 0. The division process ends here with a remainder of 0, indicating the decimal is terminating.

The answer for 6/16 as a decimal is 0.375.

• 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.