21/4 as a Decimal

Answer

21/4 in decimals can be written as 5.25. This is a terminating decimal since the division ends after a few steps.

Explanation

To get 21/4 in decimal, we will use the division method. Here, 21 is larger than 4, so we can divide directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator; the numerator (21) will be taken as the dividend and the denominator (4) will be taken as the divisor.

Step 2: Divide 21 by 4. Since 21 is more than 4, we can proceed with the division directly.

Step 3: Determine how many times 4 can go into 21. 4 × 5 = 20 is the closest multiple of 4 that is less than 21.

Step 4: Write 5 in the quotient place. Subtract 20 from 21, which gives 1.

Step 5: Bring down a 0, making it 10. Divide 10 by 4. The closest multiple is 4 × 2 = 8. Write 2 in the quotient place, and subtract 8 from 10, giving 2.

Step 6: Bring down another 0, making it 20. Divide 20 by 4, which gives exactly 5. The division process ends here with no remainder, indicating a terminating decimal.

The answer for 21/4 as a decimal is 5.25.

• 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.