To answer the question “What is 2/3 doubled as a fraction?”, we first need to understand what it means to double a fraction.
Doubling a fraction means multiplying it by 2. In other words, we need to multiply both the numerator and denominator of the fraction by 2. This is because multiplying both the top and bottom of a fraction by the same number does not change the value of the fraction.
So, to double 2/3, we need to multiply both the numerator and denominator by 2:
2/3 * 2/2 = 4/6
Now we have the fraction 4/6, which represents 2/3 doubled. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2 in this case:
4/6 = (22)/(23) = 2/3
So, we have shown that 2/3 doubled is equal to 4/6, which simplifies to 2/3.
It’s worth noting that in some cases, it may be easier to double a fraction by using cross-multiplication. Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction, and vice versa. For example, to double 2/3 using cross-multiplication, we can do the following:
2/3 * 2 = (2/1) * (2/3) = 4/3
We can see that 4/3 is equivalent to 2/3 doubled. However, this fraction is not simplified, so we can simplify it by dividing both the numerator and denominator by their greatest common factor, which is 1 in this case:
4/3 = (22)/(31) = 2/3
So, we have again shown that 2/3 doubled is equal to 4/3, which simplifies to 2/3.
In summary, to double a fraction, we need to multiply both the numerator and denominator by 2. In the case of 2/3, doubling this fraction results in 4/6. However, we can simplify this fraction to its lowest terms by dividing both the numerator and denominator by their greatest common factor, which is 2 in this case. This results in the original fraction of 2/3, showing that 2/3 doubled is equal to 2/3.