33/4 as a Decimal

Answer

33/4 in decimals can be written as 8.25. It is a terminating decimal because it does not repeat infinitely.

Explanation

To convert 33/4 into a decimal, we will use the division method. Here, the numerator (33) will be taken as the dividend, and the denominator (4) will be taken as the divisor. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (33) is the dividend, and the denominator (4) is the divisor.

Step 2: Perform the division. 33 divided by 4 gives 8 with a remainder.

Step 3: Since 33 is not a perfect multiple of 4, divide 32 by 4, which equals 8. Subtract 32 from 33 to get a remainder of 1.

Step 4: Bring down a 0 to make it 10 and continue the division process. 10 divided by 4 equals 2 with a remainder.

Step 5: Subtract 8 from 10 to get a remainder of 2. Bring down another 0 to make it 20 and complete the division process.

Step 6: 20 divided by 4 equals 5, with no remainder.

This process results in a terminating decimal, and 33/4 as a decimal is 8.25.

• 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.