What is the value of 2/3 4?

What is the value of 2/3 4?

The value of 2/3 4 is 8/3 or 2.67.

When it comes to calculating the value of an expression like 2/3 4, it’s important to understand the order of operations. In mathematics, we use the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). According to this order, we need to perform the multiplication and division before adding or subtracting.

So, let’s break down the expression step by step:

1. Start with 2/3 4:
– There are no parentheses or exponents, so we move to the multiplication and division.
– Multiply 2/3 by 4: (2/3) * 4.
– Multiplying two fractions requires multiplying their numerators (top numbers) and their denominators (bottom numbers). So, we get (2 * 4) / (3 * 1).
– Simplifying, we have 8/3.

Therefore, the value of 2/3 4 is 8/3 or approximately 2.67.

FAQs about the value of 2/3 4:

1. What does the expression “2/3 4” mean?

When an expression like “2/3 4” is written without any operators between the numbers, it implies multiplication.

2. Why is the multiplication performed after the division?

According to the order of operations, multiplication and division have the same precedence and are evaluated from left to right. In this case, multiplication comes before division.

3. Can I simplify 8/3 further?

The fraction 8/3 is already in its simplest form. The numerator (8) and the denominator (3) do not share any common factors other than 1.

4. Can I convert 8/3 into a mixed number?

Yes, you can express 8/3 as a mixed number. It equals 2 and 2/3.

5. What if I used a calculator to evaluate 2/3 * 4?

Using a calculator, you would enter 2 divided by 3, multiply the result by 4, and the answer would be 2.6666667. Rounding it to two decimal places, you would get 2.67, which is the same as the fraction 8/3.

6. How can I calculate 2/3 4 mentally?

To mentally calculate 2/3 4, you can first divide 2 by 3, which equals approximately 0.67. Then, multiply the resulting value by 4, giving you approximately 2.67.

7. Can I reverse the order of multiplication and division?

No, the order of multiplication and division cannot be reversed in this case. Following the order of operations, multiplication is performed before division.

8. Is 8/3 an exact value?

In fraction form, 8/3 is an exact value. However, when expressed as a decimal, it becomes an approximation.

9. Is it valid to use the division symbol (/) after the multiplication symbol (*) in an expression?

Yes, it is valid to use the division symbol after the multiplication symbol. It helps to separate the two operations within the expression.

10. Can I use a calculator to simplify fractions?

Yes, calculators can simplify fractions by converting them into their decimal representations. However, keep in mind that decimals may only be approximations of the original fraction.

11. Is there another way to write 2/3 4?

Yes, you can also write 2/3 * 4. The asterisk (*) symbol is often used to represent multiplication in mathematical notation.

12. What if the expression was written as 2/(3 4)?

If the expression was written as 2/(3 4), it would imply multiplication before division just like in the original case. Therefore, the calculation would be 2/(3 * 4) which simplifies to 2/12 or 1/6.

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