We"ll it is in making a the majority of "like fractions" in this ar (fractions with common denominators). Remember that 1 deserve to be stood for by a portion when the numerator and also denominator space the same value. 2/2 is the very same as 1. 9/9 is the exact same as 1. 52/52 is the exact same as one. If the is confusing, think the it together a department problem. 2÷2=1. 9÷9=1. 52÷52=1. Also, remember that in multiplication anything multiplied by 1 is the exact same value. 2*1=2. 9*1=9. 52*1=52. That math fact is referred to as the identity property the multiplication. We"re walking to use this trick come make choose fractions. We know that 1/3 * 1 = 1/3. Let"s speak our fraction problem necessary the solution to have the denominator 18 (bottom number). Use the ide that 1 is equivalent come 6/6. The means...• Start: 1/3 * 1 = 1/3• Swap: 1/3 * 6/6 = 1/3• multiply the Fractions: (1*6)/(3*6) = 6/18• simplify to examine Answer: 6/18 = 1/3We supplied the identity property to develop equivalent fractions. We produced the same denominator for all of our terms. To compare FractionsYou will acquire a many of problems where you are asked to compare fractions. Is 1/2 bigger or smaller sized than 1/3? friend should currently know around "greater than" and "less than" symbols. It"s easier with whole numbers...• to compare 2 and also 1. You understand that 2 is better than one.• to compare 13 and also 27. You recognize that thirteen is much less than twenty-seven.• to compare -40 and also -2. We have operated with negative integers before. -40 is less than -2.So what around fractions? One part levels it"s simply as easy. Fountain with bigger denominators (bottom number) have more pieces that space possible. As soon as you have much more pieces the are possible in the same space, the pieces have to be smaller. If the number of pieces (numerator) in each portion is the same, the one with the larger denominator will always be less than the other. This just works once you have the right to compare the same variety of pieces.Examples:Compare 1/2 and 1/5. Think around a pie. One pie is reduced into two pieces and one is cut into five pieces. Which item is bigger? fifty percent of a pie is bigger 보다 one 5th of a pie. For this reason 1/2 is greater than 1/5.Compare 5/8 and 5/10. Start by noticing the you have 5 pieces of each. Because they space the exact same number, we have the right to ignore them. Then look in ~ the denominators and think around pieces that a pie. An eighth the a pie is bigger 보다 a tenth the a pie. Basically, you have 5 bigger pieces contrasted to five smaller pieces. Therefore 5/8 is higher than 5/10.When the numerators are the same, we don"t have to worry around converting any kind of numbers. Let"s look at prefer fractions (same denominators). They are easy. Girlfriend only need to focus on the worths of the numerators there is no converting anything.Examples:Compare 2/9 and also 6/9.You have actually the same denominators, for this reason the size of the piece is the same. Currently look as much as the numerators. 2 pieces compared to six pieces. You have actually this one. If 2 2/9 to compare 8/17 to 3/17Once again, you have the exact same denominators. The pieces space the same size. Compare eight come three. Due to the fact that eight is higher than three...8/17 > 3/17The straightforward ones are out that the way now. But what happens when you have unlike fountain (different denominators) with various numerators? You are going to need to make lock "like fractions" to really compare them. That method you will require the exact same bottom number (common denominators) for each fraction. You"re going to need a little multiplication to do this one.Examples:Compare 5/6 and also 17/18We have actually sixths and eighteenths for denominators. We should make them choose fractions. They have the usual factor that 6 (6x3=18). That"s good, us only have actually to address the 5/6 term. The 17/18 deserve to stay the way it is. Due to the fact that we understand that 6x3=18, let"s multiply the numerator and the denominator through 3. Use the start-swap-multiply process from above.5/6 = 5/6 * 1 = 5/6 * 3/3 = (5*3)/(6*3) = 15/18Now you have the right to compare 15/18 and 17/18. No problem.15/18 to compare 6/9 and 3/4.Notice that we have ninths and fourths because that denominators. There room no common factors top top this problem. The fast way is to produce equivalent fractions for each term and compare them. How? main point the very first term through 4/4 and also the 2nd by 9/9. In various other words, we will be multiply both the top and bottom numbers of one ax by the denominator the the other. Use the start-swap-multiply procedure from over for both terms.6/9 = 6/9 * 1 = 6/9 * 4/4 = (6*4)/(9*4) = 24/363/4 = 3/4 * 1 = 3/4 * 9/9 = (3*9)/(4*9) = 27/36Did you view that? when you multiply by the denominator of the other term, girlfriend wind up with like fractions. Currently we can compare 24/36 and 27/36. Straightforward as pie.24/36

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