8 21/40 as a decimal

Answer

8 21/40 in decimals can be written as 8.525. It is a terminating decimal.

Explanation

To convert 8 21/40 to a decimal, we will first convert the fractional part, 21/40, to a decimal. Let's see the step-by-step breakdown of the process:

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

Step 2: Divide 21 by 40. Since 21 is smaller than 40, we place a decimal point and add a zero to the dividend, making it 210.

Step 3: Determine how many times 40 fits into 210. The closest multiple is 40 × 5 = 200.

Step 4: Write 5 in the quotient place and subtract 200 from 210, giving a remainder of 10.

Step 5: Bring down another 0 to make it 100, divide by 40, and find that 40 goes into 100 two times (40 × 2 = 80).

Step 6: Write 2 in the quotient and subtract 80 from 100, leaving a remainder of 20.

Step 7: Bring down another 0 to make it 200, and divide by 40 to get 5 (40 × 5 = 200), leaving no remainder.

The fractional part 21/40 equals 0.525, so 8 21/40 equals 8.525 as a decimal.

• Mixed Number: A whole number combined with a fraction.
   
• 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.