**common denominators**). Remember the 1 have the right to be stood for by a fraction when the numerator and also denominator room the exact same value. 2/2 is the exact same as 1. 9/9 is the very same as 1. 52/52 is the very same as one. If the is confusing, think of it as a department problem. 2÷2=1. 9÷9=1. 52÷52=1. Also, remember the in multiplication anything multiplied by 1 is the exact same value. 2*1=2. 9*1=9. 52*1=52. That math fact is dubbed the

**identity property**of multiplication. We\"re walking to use this trick to make favor fractions. We recognize that 1/3 * 1 = 1/3. Let\"s speak our fraction problem essential the solution to have actually the denominator 18 (bottom number). Use the principle that 1 is

**equivalent**come 6/6. That means...• Start: 1/3 * 1 = 1/3• Swap: 1/3 * 6/6 = 1/3• multiply the Fractions: (1*6)/(3*6) = 6/18• leveling to inspect Answer: 6/18 = 1/3We offered the identity property to develop equivalent fractions. We created the same denominator for all of our terms. To compare FractionsYou will gain a lot of difficulties where you space asked to compare fractions. Is 1/2 bigger or smaller sized than 1/3? girlfriend should currently know around \"

**greater than**\" and also \"

**less than**\" symbols. It\"s much easier with whole numbers...• to compare 2 and also 1. You know that two is higher than one.• to compare 13 and also 27. You understand that thirteen is less than twenty-seven.• compare -40 and -2. We have operated with negative integers before. -40 is less than -2.So what about fractions? One part levels it\"s just as easy. Fractions with bigger denominators (bottom number) have much more pieces that space possible. As soon as you have more pieces the are possible in the same space, the pieces have to be smaller. If the variety of pieces (numerator) in each portion is the same, the one v the bigger denominator will always be less than the other. This just works when you have the right to compare the same variety of pieces.

**Examples:**Compare 1/2 and also 1/5. Think around a pie. One pie is reduced into two pieces and one is reduced into 5 pieces. Which item is bigger? half of a pie is bigger 보다 one 5th of a pie. So 1/2 is better than 1/5.Compare 5/8 and 5/10. Start by noticing the you have five pieces that each. Due to the fact that they are the exact same number, we have the right to ignore them. Climate look in ~ the denominators and think around pieces of a pie. An eighth the a pie is bigger than a tenth the a pie. Basically, you have five bigger pieces contrasted to five smaller pieces. For this reason 5/8 is better than 5/10.When the numerators space the same, we don\"t need to worry around converting any numbers. Let\"s look at at prefer fractions (same denominators). They space easy. Girlfriend only require to focus on the worths of the numerators without converting anything.

**Examples:**Compare 2/9 and 6/9.You have the very same denominators, for this reason the dimension of the pieces is the same. Currently look up to the numerators. Two pieces compared to 6 pieces. You have this one. If 2 2/9 to compare 8/17 to 3/17Once again, you have the very same denominators. The pieces space the exact same size. Compare eight come three. Since eight is better than three...8/17 > 3/17The straightforward ones space out of the method now. But what happens once you have unlike fountain (different denominators) with various numerators? You are going to must make lock \"like fractions\" to yes, really compare them. That means you will need the exact same bottom number (common denominators) because that each fraction. You\"re going to require a little multiplication to execute this one.

**Examples:**Compare 5/6 and also 17/18We have actually sixths and also eighteenths because that denominators. We need to make them choose fractions. They have actually the typical factor that 6 (6x3=18). That\"s good, we only have to attend to the 5/6 term. The 17/18 have the right to stay the way it is. Due to the fact that we know that 6x3=18, let\"s multiply the numerator and the denominator through 3. Usage the start-swap-multiply process from above.5/6 = 5/6 * 1 = 5/6 * 3/3 = (5*3)/(6*3) = 15/18Now you deserve to compare 15/18 and 17/18. No problem.15/18 compare 6/9 and 3/4.Notice the we have ninths and also fourths because that denominators. There space no common factors on this problem. The fast method is to develop equivalent fractions because that each term and also compare them. How? main point the an initial term by 4/4 and the second by 9/9. In various other words, we will be multiplying both the top and also bottom number 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 watch that? as soon as you multiply by the denominator the the other term, friend wind increase with choose fractions. Currently we have the right to compare 24/36 and also 27/36. Simple as pie.24/36

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