57/80 as a Decimal

Answer

57/80 in decimal form can be written as 0.7125. It is a terminating decimal, meaning the digits do not repeat infinitely.

Explanation

To convert 57/80 to a decimal, we will use the division method. Since 57 is smaller than 80, we will use the decimal method to perform the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (57) will be taken as the dividend and the denominator (80) will be the divisor.

Step 2: Since 57 is smaller than 80, it cannot be divided directly. We will place a decimal point in the quotient and add zeros to the dividend.

Step 3: Multiply 80 by 7 to get 560, which fits into 570 (57 with an added zero). Place 7 in the quotient. Subtract 560 from 570 to get 10.

Step 4: Bring down another 0, making it 100. Divide 100 by 80 to get 1, place 1 in the quotient, subtract 80 from 100 to get 20.

Step 5: Bring down another 0, making it 200. Divide 200 by 80 to get 2, place 2 in the quotient, subtract 160 from 200 to get 40.

Step 6: Bring down another 0, making it 400. Divide 400 by 80 to get 5, place 5 in the quotient, subtract 400 from 400 to get 0, completing the division. The division process results in a terminating decimal.

The answer for 57/80 as a decimal is 0.7125.

• 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.