55/16 as a Decimal

Answer

55/16 in decimals can be written as 3.4375. It is a terminating decimal, meaning it has a finite number of digits after the decimal point.

Explanation

To convert 55/16 into a decimal, we use the division method. Since 55 is larger than 16, we proceed with long division to find the decimal value. Here's the step-by-step breakdown of the process:

Step 1: Identify the numerator (55) and the denominator (16), where 55 is the dividend and 16 is the divisor.

Step 2: Divide 55 by 16. The whole number part of the quotient is 3, as 16 fits into 55 three times, with a remainder.

Step 3: Subtract 48 (16 × 3) from 55, leaving a remainder of 7.

Step 4: Bring down a 0, making it 70, then divide 70 by 16.

Step 5: 16 fits into 70 four times (16 × 4 = 64), leaving a remainder of 6.

Step 6: Bring down another 0 to get 60, then divide 60 by 16.

Step 7: 16 fits into 60 three times (16 × 3 = 48), leaving a remainder of 12.

Step 8: Bring down another 0 to get 120, then divide 120 by 16.

Step 9: 16 fits into 120 seven times (16 × 7 = 112), leaving a remainder of 8.

Step 10: Bring down another 0 to get 80, then divide 80 by 16.

Step 11: 16 fits into 80 five times exactly (16 × 5 = 80), leaving no remainder. The process stops here since there is no remainder, making it a terminating decimal.

The answer for 55/16 as a decimal is 3.4375.

• 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.