120 1/4 as a Decimal

Answer

120 1/4 in decimal can be written as 120.25. It is a terminating decimal, meaning it has an end.

Explanation

To get 120 1/4 in decimal, we will first convert the fractional part 1/4 to a decimal and then add it to the whole number 120. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. Here, the whole number is 120, and the fraction is 1/4.

Step 2: Convert the fraction 1/4 into a decimal. To do this, divide the numerator (1) by the denominator (4).

Step 3: Since 1 is smaller than 4, we will use the decimal method. We add a decimal point and zeros to the right of the 1 to make it 10, then divide.

Step 4: 10 divided by 4 is 2 (as 4 × 2 = 8), leaving a remainder of 2.

Step 5: Bring down another 0 to make it 20. Divide 20 by 4, which is 5 (as 4 × 5 = 20), leaving a remainder of 0.

Step 6: The division ends here because the remainder is 0, so 1/4 as a decimal is 0.25.

Step 7: Add the decimal 0.25 to the whole number 120 to get 120.25.

The answer for 120 1/4 as a decimal is 120.25.

• 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.