21/40 as a Decimal

Answer

21/40 in decimals can be written as 0.525. It is a terminating decimal, meaning it ends and does not repeat.

Explanation

To get 21/40 in decimal, we will use the division method. Here as 21 is smaller than 40, we will use decimal conversion to get 0.525. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (21) will be taken as the dividend and the denominator (40) will be taken as the divisor.

Step 2: As 21 is smaller than 40, it can't be divided as a whole number. We will add a decimal point and a zero to the dividend, making it 210.

Step 3: Now that it is 210, we can divide it by 40. Let's see how many times 40 fits into 210.

Step 4: 40 goes into 210 five times (40 × 5 = 200). We write 5 in the quotient place, subtract 200 from 210 to get 10.

Step 5: Bring down another 0 in the dividend place, making it 100, and repeat the division process.

Step 6: 40 goes into 100 twice (40 × 2 = 80). We write 2 in the quotient place, subtract 80 from 100 to get 20.

Step 7: Bring down another 0 in the dividend place, making it 200, and repeat the division process.

Step 8: 40 goes into 200 five times (40 × 5 = 200). We write 5 in the quotient place and the remainder is 0. The division process ends here.

The answer for 21/40 as a decimal will be 0.525.

• 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.