37/16 as a Decimal

Answer

37/16 in decimals can be written as 2.3125. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 37/16 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 (37) will be taken as the dividend, and the denominator (16) will be taken as the divisor.

Step 2: Divide 37 by 16.

Step 3: 16 goes into 37 two times, as 16 × 2 = 32. Write 2 in the quotient place. Subtract 32 from 37, which gives 5.

Step 4: Bring down a 0, making it 50.

Step 5: 16 goes into 50 three times, as 16 × 3 = 48. Write 3 in the quotient place next to 2. Subtract 48 from 50, which gives 2.

Step 6: Bring down another 0, making it 20.

Step 7: 16 goes into 20 one time, as 16 × 1 = 16. Write 1 in the quotient place. Subtract 16 from 20, which gives 4.

Step 8: Bring down another 0, making it 40.

Step 9: 16 goes into 40 two times, as 16 × 2 = 32. Write 2 in the quotient place. Subtract 32 from 40, which gives 8.

Step 10: Bring down another 0, making it 80.

Step 11: 16 goes into 80 five times, as 16 × 5 = 80. Write 5 in the quotient place. Subtract 80 from 80, which gives 0.

The division process ends with a remainder of 0, indicating that 37/16 as a decimal is 2.3125.

• 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.