33/8 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 33 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 33/8 as a decimal?

$33/8 as a decimal$

Answer

33/8 in decimals can be written as 4.125. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To get 33/8 in decimal, we will use the division method. Let's break down the process step by step:

Step 1: Identify the numerator and denominator because the numerator (33) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 33 by 8. We find that 8 goes into 33 four times, since 8 × 4 = 32. Step 3: Subtract 32 from 33, giving a remainder of 1.

Step 4: Bring down a 0, making it 10, and add a decimal point in the quotient place.

Step 5: Divide 10 by 8, which goes 1 time since 8 × 1 = 8. Subtract 8 from 10 to get a remainder of 2.

Step 6: Bring down another 0, making it 20. Divide 20 by 8, which goes 2 times since 8 × 2 = 16. Subtract 16 from 20 to get a remainder of 4.

Step 7: Bring down another 0, making it 40. Divide 40 by 8, which goes 5 times since 8 × 5 = 40. Subtract 40 from 40 to get a remainder of 0. The division process ends here as we get a remainder of 0.

Therefore, the answer for 33/8 as a decimal is 4.125.