4 times 1/3 (fraction form) will give brainlest
The Correct Answer and Explanation is :
To find the product of 4 times ( \frac{1}{3} ), you can set it up as follows:
[
4 \times \frac{1}{3}
]
This multiplication involves a whole number and a fraction. To multiply a whole number by a fraction, you can rewrite the whole number as a fraction. This gives:
[
\frac{4}{1} \times \frac{1}{3}
]
Now, multiply the numerators together and the denominators together:
[
\frac{4 \times 1}{1 \times 3} = \frac{4}{3}
]
The result is ( \frac{4}{3} ).
Explanation
Multiplying fractions is a fundamental concept in arithmetic and can often be applied in various real-life scenarios, such as cooking, budgeting, and measurement. When you multiply a whole number by a fraction, you are essentially determining what part of the whole number the fraction represents.
In this case, ( \frac{1}{3} ) means one part out of three equal parts of a whole. When you multiply this fraction by 4, you are essentially asking, “What is 4 times one-third?”
- Understanding the components:
- The number 4 represents how many whole units you have.
- The fraction ( \frac{1}{3} ) represents a portion of those units.
- Visual Representation:
- You can visualize ( \frac{4}{3} ) as 1 whole (3 parts) plus an additional ( \frac{1}{3} ). This means that 4 times ( \frac{1}{3} ) results in more than one whole, illustrating how fractions and whole numbers can work together.
- Further Simplification:
- The fraction ( \frac{4}{3} ) is also an improper fraction, meaning the numerator is greater than the denominator. It can be converted to a mixed number by dividing 4 by 3, which results in ( 1 \frac{1}{3} ).
In conclusion, the multiplication of 4 by ( \frac{1}{3} ) yields ( \frac{4}{3} ), illustrating how whole numbers can be combined with fractions to yield larger quantities that can be understood and utilized in various contexts.