3/80 as a Decimal

Answer

3/80 in decimal form can be written as 0.0375. It is a terminating decimal, indicating it has an end.

Explanation

To convert 3/80 into a decimal, we will use the division method. Here, since 3 is smaller than 80, we will use the decimal method, which will give us 0.0375. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (80) will be taken as the divisor.

Step 2: As 3 is smaller than 80, it can't be divided directly. We will add 0 to the dividend, making it 30, and add a decimal point in the quotient place.

Step 3: Now that it is 30, we will see how many times 80 fits into 30. It does not, so we add another 0, making it 300.

Step 4: 80 goes into 300 three times, as 80 × 3 = 240. We write 3 in the quotient and subtract 240 from 300, which gives 60.

Step 5: Bring down another 0 to make it 600. 80 goes into 600 seven times, as 80 × 7 = 560. Write 7 in the quotient and subtract 560 from 600, leaving 40.

Step 6: Bring down another 0 to make it 400. 80 goes into 400 five times, as 80 × 5 = 400, leaving no remainder. The division process stops here, as we have a remainder of 0.

The answer for 3/80 as a decimal is 0.0375.

• 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.