We"ll it is in making a the majority of "like fractions" in this ar (fractions with common denominators). Remember that 1 have the right to be stood for by a fraction when the numerator and also denominator space the same value. 2/2 is the same as 1. 9/9 is the very same as 1. 52/52 is the exact same as one. If the is confusing, think of it together a department problem. 2÷2=1. 9÷9=1. 52÷52=1. Also, remember the in multiplication anything multiplied by 1 is the very same value. 2*1=2. 9*1=9. 52*1=52. That math fact is called the identity property that multiplication. We"re walking to usage 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 to 6/6. The means...• Start: 1/3 * 1 = 1/3• Swap: 1/3 * 6/6 = 1/3• main point the Fractions: (1*6)/(3*6) = 6/18• leveling to inspect Answer: 6/18 = 1/3We used the identity property to produce equivalent fractions. We created the very same denominator for every one of our terms. Compare FractionsYou will gain a lot of of difficulties where you space asked to to compare fractions. Is 1/2 bigger or smaller than 1/3? you should already know around "greater than" and "less than" symbols. It"s less complicated with entirety numbers...• compare 2 and also 1. You recognize that two is greater than one.• compare 13 and 27. You recognize that thirteen is much less than twenty-seven.• to compare -40 and -2. We have functioned with an unfavorable integers before. -40 is much less than -2.So what about fractions? One part levels it"s just as easy. Fountain with larger denominators (bottom number) have more pieces that are possible. When you have more pieces that are possible in the exact same space, the pieces have to be smaller. If the variety of pieces (numerator) in each fraction is the same, the one through the bigger denominator will constantly be less than the other. This just works when you can compare the same number of pieces.Examples:Compare 1/2 and also 1/5. Think around a pie. One pie is cut into two pieces and also one is reduced into 5 pieces. Which piece is bigger? half of a pie is bigger 보다 one 5th of a pie. Therefore 1/2 is greater than 1/5.Compare 5/8 and also 5/10. Begin by noticing that you have 5 pieces the each. Since they room the very same number, we can ignore them. Climate look in ~ the denominators and also think about pieces of a pie. One eighth that a pie is bigger 보다 a tenth that a pie. Basically, girlfriend have five bigger pieces compared to 5 smaller pieces. For this reason 5/8 is higher than 5/10.When the numerators room the same, us don"t have to worry around converting any numbers. Let"s look at like fractions (same denominators). They room easy. Friend only require to emphasis on the values of the numerators there is no converting anything.Examples:Compare 2/9 and also 6/9.You have the exact same denominators, so the dimension of the piece is the same. Currently look up to the numerators. 2 pieces compared to six pieces. You have this one. If 2 2/9 to compare 8/17 come 3/17Once again, you have actually the very same denominators. The pieces room the same size. To compare eight come three. Due to the fact that eight is higher than three...8/17 > 3/17The easy ones space out of the means now. But what happens once you have actually unlike fountain (different denominators) with different numerators? You space going to need to make lock "like fractions" to really compare them. That method you will need the exact same bottom number (common denominators) for each fraction. You"re walking to require a little multiplication to execute this one.Examples:Compare 5/6 and also 17/18We have sixths and eighteenths for denominators. We have to make them like fractions. They have the usual factor that 6 (6x3=18). That"s good, we only have to attend to the 5/6 term. The 17/18 deserve to stay the method it is. Because we know that 6x3=18, let"s multiply the numerator and the denominator by 3. Use the start-swap-multiply procedure from above.5/6 = 5/6 * 1 = 5/6 * 3/3 = (5*3)/(6*3) = 15/18Now you can compare 15/18 and also 17/18. No problem.15/18 compare 6/9 and 3/4.Notice the we have actually ninths and also fourths because that denominators. There are no usual factors top top this problem. The fast way is to produce equivalent fractions because that each term and compare them. How? multiply the very first term through 4/4 and the 2nd by 9/9. In various other words, we will be multiply both the top and also bottom numbers of one ax by the denominator the the other. Usage the start-swap-multiply process from above 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 see that? as soon as you main point by the denominator of the various other term, girlfriend wind up with choose fractions. Currently we can compare 24/36 and also 27/36. Simple as pie.24/36

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