Answer:
A good way to approach this problem is to convert the fraction into an equivalent fraction. After assembling 3 and 7 as a partition of 12, we can see that we will need many iterations in order for each number at both the top and bottom of the equation equal 1/3. The following two steps allow you:
Explanation:
1. Multiply
– 4 at the top and 11 at the bottom (Method 1)
– 5 at the top and 10 at 5 at the bottom (Method 2)
2. Step back with one computation per iteration by halving the difference between groups after multiplying or dividing out like terms as needed (Method 2).
Step One: Method 1:
I will show how to multiply these. First, add 4 and 11 at the very top of the problem:
13
Next, I will multiply what is underneath each letter in parentheses:
3 x 3 = 9 + 25 = 34
After multiplying out, we add together like terms and simplify:
4 + 11 = 15
15 x 7= 105 13/5= 21 2/3 (Method 1)
Step Two: Method 2: Now we will use method two by taking half of the difference between groups after multiplying or dividing out like terms as needed (Method 2). Remember that when subtracting the same term from both sides of an equation you must flip over the sign then re-add it. This is called "refluxing."