Answer:
You will need to regroup because 2/3 is less than 3/4.
Step-by-step explanation:
DON'T IGNORE THIS PART!!!
Let's find the common denominator for 10 2/3 and 6 3/4.
[tex]10 \frac{2}{3} - 6 \frac{3}{4}[/tex]
What is the least common multiple for 3 and 4? Well, let's make a list that would help!
Multiples of 3: 3, 6, 9, 12, 15, 18, 21...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28...
What is the first multiple that 3 and 4 matches with? It is 12!
Now, let's convert the fractions.
[tex]10 \frac{2}{3} - 6 \frac{3}{4}[/tex] = [tex]10 \frac{8}{12} - 6 \frac{9}{12}[/tex]
Woah! How do you subtract 9/12 from 8/12? Don't worry--there is a solution to this problem! And--it is... regrouping!
You have to add a whole to 8/12. This means that you have to add 8/12 + 12/12, which is 20/12. And--you will have to subtract one from ten.
[tex]9 \frac{20}{12} - 6 \frac{9}{12}[/tex]
Now, that should be way easier to subtract!
