10/40 as a Decimal

Answer

10/40 in decimals can be simplified first to 1/4, which can be written as 0.25. It is a terminating decimal, indicating that it does not repeat the same digit infinitely.

Explanation

To get 10/40 in decimal, we will use the division method. Here, 10 is smaller than 40, so we will take the help of decimals, which will give us 0.25. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 10/40 to 1/4 by dividing both the numerator and the denominator by their greatest common factor, which is 10.

Step 2: Identify the numerator and denominator of 1/4, where 1 will be taken as the dividend and 4 as the divisor.

Step 3: As 1 is smaller than 4, it can't be divided in whole numbers. Here we will take the help of decimals. We will add 0 to the dividend, making it 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 makes 10.

Step 5: 10 is not a multiple of 4, so we will look for the nearest number, which is 4 × 2 = 8.

Step 6: Write 2 in the quotient place and subtract 8 from 10 to get 2.

Step 7: Bring down another 0 in the dividend place, making it 20, and then divide by 4, which is 5 times 4 = 20. The remainder is 0, so the process stops here.

The answer for 10/40 as a decimal is 0.25.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses 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.