How To Add Unlike Fractions Video

we want to order the following fractions from least to greatest. it's difficult to order fractions when the denominators are different. so one way to help usorder these fractions

How To Add Unlike Fractions Video, would be to rewrite them so that they all havethe same denominator. so the first step is todetermine if we have denominators of 15, 10, six, three, and two,

what we can use for a common denominator. now, it'd be nice if we could find theleast common denominator, but any common denominator would do. so we're looking for a number, or hopefully the smallest number that would be a multiple of15, 10, six, three, and two. and the least common multiple, or the least commondenominator would be 30.

so we're going to rewriteeach of these fractions with the denominator of 30 and that'll help us orderthese from least to greatest. so multiply this firstfraction by two over two, notice we have a 30 in the denominator, multiply the second fractionby three over three, multiply the secondfraction by five over five, third fraction by 10 over 10, and the fourth fraction by 15 over 15.

so here we'll have 8/30, here we'll have 21/30, here we'll have 25/30, here we'll have 20/30, and here we'll have 15/30. so we can see the smallestfraction would be 8/30, the next largest fraction would the 15/30, the next largest would be 20/30, the next would be 21/30,

and the largest fraction would be 5/30. but to give our final answer, we want to write thefractions in the original form so the smallest was 8/30, which is 4/15. the next smallest was 15/30,which is equal to one half. next we had 20/30 which was two thirds, next we had 21/30, which was 7/10, and then the largest fraction was 25/30,

which was equal to 5/6. so it is important thatwe list these fractions from least to greatestin their original form rather than the equivalent fractions with the common denominators.