40 1/4 as a Decimal

Answer

40 1/4 in decimals can be written as 40.25. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 40 1/4 to a decimal, we will first convert the fraction 1/4 to a decimal and then add it to the whole number 40. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 40, and the fraction is 1/4.

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

Step 3: Since 1 is smaller than 4, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.

Step 4: Now that it is 10, we can divide it by 4. Let's see how many times 4 goes into 10.

Step 5: 4 × 2 = 8, so 2 goes in the quotient place. Subtract 8 from 10 to get 2.

Step 6: Bring down another 0 to make it 20. Divide 20 by 4 to get 5.

Step 7: 4 × 5 = 20, so subtract 20 from 20, which gives 0 as the remainder.

The answer for 1/4 as a decimal is 0.25. Add 0.25 to 40 to get 40.25.

• 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.