Whats 1/3 of 7 as a fraction
The Correct Answer and Explanation is:
To find one-third of 7 as a fraction, we can express this mathematically as:
[
\frac{1}{3} \times 7
]
To proceed, we represent 7 as a fraction. The number 7 can be written as (\frac{7}{1}). Now, we multiply:
[
\frac{1}{3} \times \frac{7}{1} = \frac{1 \times 7}{3 \times 1} = \frac{7}{3}
]
Thus, one-third of 7 as a fraction is (\frac{7}{3}).
Explanation
The concept of fractions is fundamental in mathematics, particularly in understanding parts of a whole. A fraction consists of two parts: the numerator (the top number) and the denominator (the bottom number). In this case, (\frac{1}{3}) represents one part out of three equal parts. When we want to find one-third of any number, we multiply that number by (\frac{1}{3}).
In this instance, we wanted to find one-third of 7. By converting the whole number 7 into a fraction, we wrote it as (\frac{7}{1}). This allows us to perform the multiplication using the rules of fractions. Multiplying the numerators together gives us (1 \times 7 = 7), while multiplying the denominators gives us (3 \times 1 = 3). This results in the fraction (\frac{7}{3}).
This fraction can also be interpreted as a mixed number. Since 7 divided by 3 is 2 with a remainder of 1, we can express (\frac{7}{3}) as (2 \frac{1}{3}). This means that one-third of 7 is not only represented by the fraction (\frac{7}{3}), but it can also be expressed as 2 whole units plus an additional one-third.
In summary, the fraction (\frac{7}{3}) is the result of finding one-third of 7, demonstrating the utility of fractions in representing parts of whole numbers.