00:01
I have a equation with fractions in it, and if your directions ask you to clear the fractions and then solve.
00:10
So clearing fractions means we want no denominators because the denominator makes the fraction and it makes it messy.
00:17
So our fractions are two -thirds and one -fourth, denominators of two and three.
00:22
So you think back to lcd, lcm, getting common denominators.
00:27
Our common denominator with 3 and 4 would be 12, which means if i multiply the whole equation every single term times the 12 over 1, then the fractions will eliminate.
00:44
So what that means is 12 over 1, it's a big distributive property, times 2 thirds plus 1 fourth, times 12 over 1, we'll keep our t there, equals 2 times 12 over 1, even though there's no fraction there.
01:10
So our first term, you can simplify or you don't have to and you get 24 over 3, which is the same as simplifying and getting 8.
01:23
1 4th times 12 over 1 is 12 over 4, or simplify and get 3t.
01:30
And then 2 times 12 is 24.
01:35
So our equation we're solving is simplified or eliminate the fractions and gives us 8 plus 3t equals 24...