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00:00Hi friends, today we will learn comparing fractions in our daily life.
00:08So let's start.
00:11We know fractions are dividings of a whole, 1 by 2, 3 by 4, 5 by 6, 2 by 3, 8 by 12.
00:23All these are fraction numbers and they represent dividings of a whole.
00:29Now let's learn what are like fractions, 2 by 4, 3 by 4, 1 by 4, 4 by 4.
00:38All the fraction numbers that have same denominators are known as like fractions.
00:44And now we are going to learn how to compare these like fractions.
00:51Your mom cooks a pizza and cut the pizza into 4 equal parts and she can either give
00:58you 3 fourth pizza or 2 fourth pizza.
01:04Now in which case you will get more pizza.
01:09Now here comes a comparison of 3 by 4 and 2 by 4.
01:16We have to compare two portions of a pizza, 3 by 4 pizza or 2 by 4 pizza.
01:26Which portion of the pizza will be bigger?
01:30You can visually compare that 3 fourth pizza is bigger than 2 by 4 pizza.
01:38From this example, you also learn that if the denominators are same, you just need to
01:45compare the numerators for comparison.
01:49This is why 2 by 4 is smaller than 3 by 4.
01:56Here we have another example.
02:00Your mom cooks a pizza and cuts the pizza into 8 equal parts and she will either give
02:07you 6 eighth pizza or 4 eighth pizza.
02:12Now in which case you will get more pizza.
02:17This is 4 eighth portion of the pizza.
02:22Now again you can visually compare that 6 eighth pizza is more than 4 eighth pizza.
02:30You can also notice that these are like fractions that is having same denominators.
02:37So you just need to compare the numerators to compare the fractions.
02:444 is smaller than 6, so 4 by 8 is smaller than 6 by 8, so 4 eighth of the pizza will
02:56be smaller than 6 eighth of the same pizza.
03:00Now let's compare more like fractions in a quick fashion.
03:062 by 4 is greater than 1 by 4.
03:103 by 4 is greater than 2 by 4.
03:141 by 3 is less than 2 by 3.
03:197 by 8 is greater than 3 by 8.
03:243 by 8 is less than 5 by 8.
03:281 by 8 is less than 4 by 8.
03:33So all these are like fractions that is having the same denominator and when we are comparing
03:40like fractions we only compare numerators.
03:45Here we have more examples.
03:487 by 12 is greater than 2 by 12.
03:539 by 12 is greater than 7 by 12.
03:582 by 12 is greater than 1 by 12.
04:023 by 12 is less than 9 by 12.
04:08Now you know how we compare like fractions and why we only need to compare numerators
04:15while comparing like fractions.
04:19Now we will see comparing unlike fractions.
04:24Fractions having different denominators are called as unlike fractions.
04:323 by 4 and 5 by 6.
04:351 by 2 and 3 by 4.
04:394 by 8 and 3 by 6.
04:42These are examples of pairs of unlike fractions because they are having different denominators.
04:50Now let's see how we can compare them.
04:55One child has been given three-fourths of a chocolate.
05:00And one child is given with four-sixths of the same size chocolate.
05:06Now who got more?
05:09Take the two fractions to be compared and multiply the denominator
05:14of the one with the numerator of the other like this.
05:20Multiply 6 by 3.
05:23Write the product here.
05:26Multiply 4 by 4.
05:28And write the product here.
05:31You get the bigger product that is 18 on this side.
05:36That is 3 by 4.
05:39So this fraction is bigger.
05:433 by 4 is bigger than 4 by 6.
05:49Here we have another example.
05:51We have two pizzas of the same size and we cut one into eight slices and the other one into six slices.
06:02Now if we take two pieces from this pizza, that is 2 by 8.
06:09And we also take two pieces from this pizza, that is 2 by 6.
06:16Now which fraction is bigger?
06:18Which fraction is bigger?
06:212 by 8 or 2 by 6?
06:25Write the two fractions side by side and multiply the denominator
06:31of the one with the numerator of the other.
06:34Multiply 6 by 2 and you get 12 on this side.
06:41Multiply 8 by 2 and you get 16 on this side.
06:47So we get a bigger number on this side.
06:50So 2 by 6 is bigger than 2 by 8.
06:55Now let's compare some unlike fractions in a quick fashion.
07:02Comparing 2 by 6 and 4 by 9.
07:076 multiplied by 4 is 24.
07:129 multiplied by 2 is 18.
07:16So we get a bigger number on this side.
07:19So 4 by 9 is a bigger fraction.
07:23Now let's compare 5 by 8 and 7 by 12.
07:298 multiplied by 7 equals 56.
07:3412 multiplied by 5 equals 60.
07:38We get bigger number on this side.
07:41So 5 by 8 is bigger fraction.
07:46Now let's compare 1 by 4 and 1 by 6.
07:526 multiplied by 1 equals 6.
07:56And 4 multiplied by 1 equals 4.
08:00And 6 is bigger than 4.
08:03So 1 by 4 is a bigger fraction.
08:07Here we have another pair of unlike fractions.
08:114 by 12 and 6 by 9.
08:1512 multiplied by 6 equals 72.
08:19And 9 multiplied by 4 equals 36.
08:25You got a bigger product on this side.
08:28So 6 by 9 is a bigger fraction out of these two unlike fractions.
08:36So friends, now we know how to compare unlike fractions.
08:42Now we will learn how to compare mixed fractions.
08:47Here we have some mixed fractions.
08:502, 1 by 3.
08:533, 2 by 3.
08:554, 5 by 6.
08:58They have a whole part and a fraction part.
09:02Now let's see how we can compare these.
09:06I have three chocolates.
09:09I have to distribute them between two children.
09:13So I will give one chocolate to each child.
09:18And then we'll give a half chocolate to each child.
09:21So each child's share is 1, 1 by 2.
09:27So these are mixed fractions or mixed numbers.
09:33They are having a whole part 1 and a fraction part 1 by 2.
09:39And these mixed numbers are equal.
09:43They are having the same whole part as well as same fraction part.
09:48Now let's have another example.
09:52Tia is having one whole chocolate.
09:55And also a 4, 6 chocolate.
09:59Sam is having one whole chocolate.
10:02And also a 2, 6 chocolate.
10:06Now who has a bigger share of chocolate?
10:10Here comes a comparison of mixed fractions.
10:15One child is having one 4 by 6 chocolate.
10:20And the second child is having one 2 by 6 chocolate.
10:25For comparing mixed fractions, we first compare the whole parts.
10:31In our example, whole parts are equal.
10:35So we will now compare the fraction parts.
10:39The fraction parts are having same denominators.
10:43So they are like fractions.
10:46And we know we compare only the numerators for comparing like fraction.
10:51So 4 by 6 is bigger than 2 by 6.
10:56Hence, one 4 by 6 is a bigger fraction.
11:01Now let's compare more mixed fractions.
11:05Sam has two whole chocolates.
11:08And one third chocolate also.
11:12Olivia has four whole chocolates.
11:14And a two third chocolate also.
11:18Who got more chocolates?
11:21You can judge that the child with more number of whole chocolates has more chocolates.
11:27So no need to compare the fraction part.
11:31So now we have learned for comparing mixed fractions or mixed numbers.
11:37We first compare the whole parts.
11:39And if whole parts are same, then only we compare the fraction portions.
11:45Now let's have some more comparisons.
11:49Which of the following mixed number is bigger?
11:53The one with the bigger whole number.
11:56So this mixed fraction is bigger.
12:00Now, which of these mixed fractions is bigger?
12:03Again, the fraction with a bigger whole number should be bigger.
12:08The whole parts are same here.
12:11So we will be comparing the fraction portions.
12:151 by 3, 2 by 3.
12:19These are like fractions.
12:21So we will just compare the numerators for comparing these fractions.
12:262 is bigger than 1.
12:29So 2 by 3 is bigger than 1 by 3.
12:34So this mixed number is a bigger number.
12:37Now, which of these mixed numbers is bigger?
12:414, 2 by 6.
12:434, 4 by 9.
12:46Again, the whole parts are same.
12:49So we will compare the fraction portions.
12:52But the fraction portions are unlike fractions.
12:55Both are having different denominator.
12:58So we have already learned how to compare unlike fractions.
13:03We will multiply the numerator of the one with the denominator of the other.
13:09Like this.
13:116 multiplied by 4 is 24.
13:16And 9 multiplied by 2 is 18.
13:21And we get a bigger product on this side.
13:24So this fraction, 4 by 9, is bigger.
13:28So this mixed number with this fraction is bigger.
13:33And this fraction portion is a bigger number.
13:38So friends, now we have also learned how to compare mixed fractions.
13:43Now you may go ahead and take a quiz to learn more.
13:47Bye-bye.