Final Answer:
The value in simplest form of 1/3 divided by 4, 2/5 divided by 4, and 4/7 divided by 4 is 1/12, 1/10, and 1/7, respectively.
Explanation::
To solve these problems, we will go through each fraction and divide it by 4, simplifying as we go.
1. For the fraction 1/3 divided by 4:
To divide a fraction by a whole number, you can multiply the denominator by the whole number. So we will multiply the denominator of the fraction (3) by 4.
1/3 ÷ 4 = 1/3 * 1/4 = 1/3*4 = \1/12
So, 1/3 divided by 4 simplifies to 1/12.
2. For the fraction 2/5 divided by 4:
Again, we'll multiply the denominator of the fraction (5) by 4.
2/5 ÷ 4 = 2/5 * 1/4 = 2/5*4 = 2/20
Now we can simplify the fraction 2/20 by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
2/2 / 20/2= 1/10
So, 2/5 divided by 4 simplifies to 1/10.
3. For the fraction 4/7 divided by 4:
We'll use the same process and multiply the denominator (7) by 4.
4/7 ÷ 4 = 4/7 * 1/4 = 4/7 *4 = 4/28
Simplify the fraction 4/28 by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
4/4 / 28/4 = 1/7
So, 4/7 divided by 4 simplifies to 1/7.
In summary:
- 1/3 divided by 4 is 1/12
- 2/5 divided by 4 is 1/10
- 4/7 divided by 4 is 1/7
These are the simplest forms of each of the given fractions divided by 4.