# 3/5 Groups Of 3 Fractions

Satisfactory Essays

I am going to solve this problem using an area model. (Please see Attachment 1). I am going to show 3/5 groups of 3 ½ by first drawing 3 wholes, and a half of the fourth whole. I am going to use a pink highlighter to show the fraction 3 ½. Each of the wholes is divided into 2 parts because the denominator shows me how many equal parts there are in a whole group. Now, I have to find 3/5 of 3 ½. I am going to break apart the entire model/amount of 3 ½ into five parts using a horizontal line and a green pen. Again, the denominator is showing me how many equal parts there are in a whole group. Horizontal line allows me to see a new denominator that is being created. My new denominator is 10 because I can see a new amount in each whole; there are 10 pieces now. Next, I have to figure out what would be the 3/5 size group of all of the model. The green loop is showing the 3/5. Then I am going to count the pieces to find out how many of them there are in the amount, which is 3/5. I can see that there are 21/10 in 3/5 groups of 3 ½. I am going to rename this fraction. To do this, I am drawing …show more content…

First, I am asking myself, how many groups of ¼ are in 4 3/8. I will use rectangles to represent the whole unit. Because I do not have 5 whole units, I am going to divide the fifth unit into 8 equal part and shade in 3 parts to represent 3/8. Then, I am going to use a pink highlighter to show where the 4 3/8 stops. To find out how many groups of ¼ fit into 4 3/8, I am going to redraw each whole below using an orange color, and this time I am going to divide each whole into 4 equal parts. After that, I am going to count how many groups of ¼ I have in my 4 3/8. I am also going to shade in using an orange highlighter the amount of ¼ that fit into 4 3/8, and I can see that I have 17 groups, and a half of the group of ¼. That means that the answer is 17 ½. Below is a standard algorithm that confirms the