So from least to greatest, our fractions are 1/3, 7/10, and then 5/6. 21 is less, and that represented 7/10, so we can say 7/10, 'cause 21/30 equals 7/10, and finally that leaves us with 25/30, which is equivalent to 5/6. So we can put 1/3 is least, and we cross that off. The least, the smallest, is 10/30, which again, remember, is equal to 1/3. So we can list these nowįrom least to greatest. K.5 The student will investigate fractions by representing and solving practical. So we were right when we estimated up here that 7/10 is larger than 1/3, but then the trickier one over here, now we can see much more clearly. Objects may be presented in random order or arranged for easy counting. Well, clearly 21 out ofģ0 is a larger portion of the group than 10 out of 30. Same as 21 out of 30, whereas 1/3 is 10 out of 30. We can simply look at the numerators to see what portion of those 30 the fraction represents. So in this case, the pieces are all 30ths. These original fractions that were tricky to compare, we have much easier numbers to compare. We need to multiply here to get 30? Six times five is 30, so we multiply the numerator times five, and five times five is 25. Same size of the group, the same portion, and finally 5/6, what do If you have 10 of the 30 people, again, we'll use the wear glasses example, or 1/3, that is the Fraction decimal equivalents sorted in ascending order (smallest decimal to largest). Convert each fraction to a decimal by dividing the numerator by the denominator. Method 1: Convert fractions to decimals and then sort by the decimals. To do this we rewrite the fractions so that they have the same denominators which we can then compare. Here is how to order the fractions using two different methods. Again, we want a denominator of 30, so this time we'll multiply three times 10 to get 30. Ordering fractions is where we rearrange a set of fractions so that the smallest is at the start, followed by the next smallest and so on. Seven out of 10 is the same portion as 21 out of 30, and then let's keep going with 1/3. ![]() What portion of the group we're representing. We've changed the denominator so that they will be easier to compare, but we've not changed We've just changed the size of the group. Numerator and denominator by the same number. We'll start with 7/10, and we want it to haveĪ denominator of 30, so what do we need to multiply by? 10 times three is 30. So let's start converting our fractions to have denominators of 30. 30 can work to be our common denominator. How about six? Six times five equals 30, so yes. How about 30? Let's see, three, we can multiple three times 10 to get 30, so 30 works for three. Is there a whole number we can multiply them by to get 20? Again, no, so 20 doesn't work. The next multiple of 10 is 10 times two, which is 20. To add, subtract, multiply and divide fractions see the Fractions Calculator. Can we change thirds and sixths to have 10 as a denominator? Is there any whole number you can multiply three times to get 10? There's not, so we need to keep going. Order these fractions from least to greatest numerator -36/48 < 36/48 36/48 < 96/48 < 174/48 Place the original fractions in the same order as their equivalents -12/16 < 3/4 9/12 < 2 < 3 5/8 Comparing Fractions Calculator. The first multiple is 10,Ĭause 10 times one is 10. One way I like to figure this out is I look at the biggest denominator, which is 10, and I think of its multiples. ![]() Multiple of 10, three, and six, something we can multiplyġ0, three, and six by to get a new denominator that will work for all of the fractions. Them easier to compare so we don't have toĬompare 10ths to thirds to sixths because thoseĪre all different sizes, different sized groups,ĭifferent sized pieces, that's tricky to compare. So what we can do is we can try to change these fractions to make Tenths most of the group? That gets a lot trickier. But then we get over here to 5/6, and five out of six, well, again, that's most of the group, but is this most of the group greater than the seven These two we could compare by estimating and see that this one, 7/10, is probably greater than 1/3. If only one of the three wears glasses, that's not most of the group. Most of your friendsĪre wearing blue jeans, and then for 1/3, we could say one of your ![]() 7/10, let's say maybe that could represent seven of your 10 friendsĪre wearing blue jeans. Is look at the fractions, think about what they ![]() One is the smallest, which one's in the middle, and which is the greatest. So we have three fractions, and we wanna decide which Example (Click to try) 1/3 + 1/4 Fractions Video Lesson. To enter a fraction, type a / in between the numerator and denominator. Fill in the new numerators above the fraction bars. Fraction Calculator is a calculator that gives step-by-step help on fraction problems. To do this, multiply each original numerator by the same factor you multiplied its denominator by. Calculate the new numerator for each fraction.
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