39/16 as a Decimal

Answer

39/16 in decimal form is 2.4375. It is a terminating decimal.

Explanation

To get 39/16 in decimal form, we will use the division method. Let's go through the process step by step:

Step 1: Identify the numerator and denominator; the numerator (39) will be taken as the dividend and the denominator (16) as the divisor.

Step 2: Divide 39 by 16. The closest whole number is 2 since 16 × 2 = 32.

Step 3: Subtract 32 from 39, which leaves a remainder of 7.

Step 4: Bring down a 0 to make it 70.

Step 5: Divide 70 by 16. The closest whole number is 4 since 16 × 4 = 64.

Step 6: Subtract 64 from 70, which leaves a remainder of 6.

Step 7: Bring down another 0 to make it 60.

Step 8: Divide 60 by 16. The closest whole number is 3 since 16 × 3 = 48.

Step 9: Subtract 48 from 60, which leaves a remainder of 12.

Step 10: Bring down another 0 to make it 120.

Step 11: Divide 120 by 16. The closest whole number is 7 since 16 × 7 = 112.

Step 12: Subtract 112 from 120, which leaves a remainder of 8.

Step 13: Bring down another 0 to make it 80.

Step 14: Divide 80 by 16. The closest whole number is 5 since 16 × 5 = 80.

Step 15: Subtract 80 from 80, which leaves a remainder of 0.

Thus, 39/16 as a decimal is 2.4375, and it is a terminating decimal.

• 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.