5 Simple Steps To Find Half Of 3 2/3

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Understanding fractions and decimals can be a challenge, but with the right approach, finding half of 3 2/3 can be a straightforward process. In this article, we will break down the steps to find half of 3 2/3, using simple language and practical examples.

Step 1: Convert the Mixed Number to an Improper Fraction

To find half of 3 2/3, we first need to convert the mixed number to an improper fraction. A mixed number is a combination of a whole number and a fraction. In this case, the mixed number is 3 2/3. To convert it to an improper fraction, we multiply the whole number by the denominator (3) and add the numerator (2). Then, we write the result over the original denominator.

So, 3 2/3 can be converted to an improper fraction as follows:

(3 x 3) + 2 = 9 + 2 = 11

Therefore, 3 2/3 is equal to 11/3.

Why is this step important?

Converting the mixed number to an improper fraction makes it easier to perform mathematical operations, such as finding half. By converting the mixed number to an improper fraction, we can work with a single fraction, rather than a combination of a whole number and a fraction.

Step 2: Multiply the Improper Fraction by 1/2

To find half of 11/3, we need to multiply the improper fraction by 1/2. When multiplying fractions, we simply multiply the numerators and denominators separately.

So, multiplying 11/3 by 1/2 gives us:

(11 x 1) / (3 x 2) = 11/6

Therefore, half of 3 2/3 is equal to 11/6.

Why is this step important?

Multiplying the improper fraction by 1/2 allows us to find half of the original mixed number. By performing this multiplication, we can determine the exact value of half of 3 2/3.

Step 3: Simplify the Resulting Fraction (if necessary)

The resulting fraction, 11/6, is already in its simplest form. However, if the fraction were not in its simplest form, we would need to simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD).

For example, if the resulting fraction were 22/12, we could simplify it by dividing both the numerator and denominator by 2, resulting in 11/6.

Why is this step important?

Simplifying the resulting fraction ensures that we have the most straightforward and accurate answer possible. By simplifying the fraction, we can express the result in its most reduced form.

Step 4: Convert the Improper Fraction to a Decimal (optional)

If desired, we can convert the improper fraction to a decimal by dividing the numerator by the denominator.

So, dividing 11 by 6 gives us:

11 ÷ 6 = 1.83

Therefore, half of 3 2/3 is approximately equal to 1.83.

Why is this step optional?

Converting the improper fraction to a decimal is optional because it depends on the context and the desired level of precision. If an exact answer is required, we can stick with the improper fraction. However, if a decimal approximation is sufficient, converting the fraction to a decimal can be a useful step.

Step 5: Verify the Result

To verify the result, we can plug the answer back into the original problem and check if it satisfies the equation.

For example, if we multiply 1.83 by 2, we get:

1.83 x 2 = 3.66

This is approximately equal to the original mixed number, 3 2/3.

Why is this step important?

Verifying the result ensures that our answer is accurate and makes sense in the context of the problem. By plugging the answer back into the original equation, we can confirm that our solution is correct.

In conclusion, finding half of 3 2/3 requires a few simple steps, including converting the mixed number to an improper fraction, multiplying the improper fraction by 1/2, simplifying the resulting fraction, and verifying the result. By following these steps, we can determine the exact value of half of 3 2/3.

We hope this article has been informative and helpful. If you have any questions or need further clarification, please don't hesitate to ask. Share your thoughts and comments below!