33 1/3 Divided By 100

2 min read Jul 25, 2024
33 1/3 Divided By 100

33 1/3 Divided by 100: A Mathematical Exploration

When we encounter a mathematical expression like 33 1/3 divided by 100, it's natural to wonder what the result will be. In this article, we'll delve into the world of fractions and decimals to find the answer.

Understanding the Expression

To start, let's break down the expression: 33 1/3 divided by 100. We have a mixed number, 33 1/3, which is equivalent to:

33 1/3 = 100/3

Now, we need to divide this mixed number by 100.

The Division Process

To divide 100/3 by 100, we can start by dividing the numerator (100) by 100, which gives us 1. Then, we'll divide the denominator (3) by 100, which gives us 3/100 or 0.03.

So, the result of the division is:

100/3 ÷ 100 = 1/3 ÷ 100 = 1/300

Converting to a Decimal

To convert the resulting fraction to a decimal, we can divide the numerator (1) by the denominator (300):

1 ÷ 300 = 0.0033

The Final Answer

Therefore, 33 1/3 divided by 100 is equal to 0.0033.

In conclusion, by breaking down the mixed number and following the division process, we've arrived at the final answer: 0.0033. This exercise showcases the importance of understanding fractions and decimals in mathematical operations.

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