Fractions on a Number Line Video Lecture | Mathematics for Class 4

0:0:0: hello dear students in today's video we
0:0:2: will learn about fractions what is a
0:0:4: fraction and how to represent a fraction
0:0:7: on the number line so what is a
0:0:11: fraction fraction means a part of the
0:0:14: whole let's take an example consider an
0:0:18: apple as a whole now if you give half of
0:0:21: this apple to your sister then half of
0:0:23: the Apple remains with you and each of
0:0:26: this part is called
0:0:28: fraction fraction is written in the form
0:0:30: of
0:0:31: numerator upon denominator also we can
0:0:36: call it n by D so what is the
0:0:40: denominator it is total number of equal
0:0:43: parts the whole is divided into so in
0:0:46: the example of Apple denominator would
0:0:48: be two as the Apple was divided into two
0:0:51: equal parts now what is the
0:0:55: numerator the numerator represents the
0:0:58: number of equal parts considered in a
0:1:0: fraction for a particular case in the
0:1:3: same example the numerator would be one
0:1:7: so our fraction would be 1 by 2 I think
0:1:12: you have now got the idea of what a
0:1:15: fraction
0:1:16: is now let's understand what is half 1/3
0:1:22: and qu when the whole is divided into
0:1:25: two equal parts each part is called half
0:1:28: and it is written as 1 by 2 and do
0:1:32: remember that two halves make one whole
0:1:36: so it means 1X 2 + 1X 2 = to 1 now let's
0:1:42: see what is
0:1:43: 1/3 when the whole is divided into three
0:1:47: equal parts each part is called 1/3 and
0:1:50: 1/3 is written as 1X 3 so it also means
0:1:56: that 3 1/3 make a whole that is 1 by 3 +
0:2:1: 1X 3 + 1X 3 = to 1 now let's see what is
0:2:8: 1x 4 or quarter when the whole is
0:2:11: divided into four equal parts each part
0:2:14: is called 1/4 or quarter and it is
0:2:17: written as 1X 4 which means 4 1 by 4
0:2:22: will make one whole that is 1x 4 + 1X 4
0:2:28: + 1X 4 + 1X 4 = to 1 now let's do some
0:2:35: related exercises to understand better
0:2:39: look at this triangle it is divided into
0:2:41: three equal parts so the denominator
0:2:44: would be three and the Shaded part is
0:2:46: one so the numerator would be 1
0:2:50: therefore the fraction for the Shaded
0:2:51: part is 1 by 3 Let's see another figure
0:2:56: this figure is divided into four equal
0:2:58: parts and the shade shaded part is one
0:3:1: so the fraction for the Shaded part
0:3:3: would be 1 by 4 now see this figure it
0:3:7: is divided into eight equal parts and
0:3:9: shaded parts are clearly three so the
0:3:13: fraction for the Shaded part is 3x 8
0:3:17: students for more such examples you can
0:3:19: refer to our worksheets on the urv
0:3:22: app now let's understand how do we
0:3:25: represent a fraction on the number line
0:3:28: look at this number
0:3:30: line it starts at zero and its end point
0:3:34: is 10 we can fill it in with whole
0:3:37: numbers like this now look at this
0:3:40: number line what about this there are no
0:3:43: whole numbers between 0o and 1 so we can
0:3:47: use this space to represent the
0:3:50: fractions you have learned about
0:3:52: fractions now here we have taken a
0:3:55: sandwich that has been cut into four
0:3:57: equal parts that means the denominator
0:4:0: will be four so each one of the equal
0:4:4: parts here is 1/4 or 1 qu if someone
0:4:8: were to be given three of those parts
0:4:10: they would have three4 of the whole
0:4:13: sandwich okay so back to number lines
0:4:17: let's start by finding this fraction
0:4:19: three quarters on a number line the
0:4:22: starting point of our number line is
0:4:24: zero and the ending point is one this
0:4:27: one refers to one whole
0:4:30: now think about 3/4 of the
0:4:32: sandwich we know that 3/4 is less than
0:4:36: one whole that means the fraction must
0:4:39: go somewhere between the zero and the
0:4:42: one looking at the denominator we can
0:4:46: see that the hole has been split into
0:4:49: four equal parts just like the sandwich
0:4:52: we need to split the whole represented
0:4:54: on this number line into four equal
0:4:58: parts now we need to look to the
0:5:1: numerator to work out how many fours or
0:5:4: quarters we have we have three let's
0:5:9: count along a quarter two fours 3
0:5:14: quarters great we have found the
0:5:16: fraction 3/4s on this number line here's
0:5:20: another fraction for us to find on a
0:5:22: number line 2 fifths here is our number
0:5:27: line we know that 2 is less than one so
0:5:31: let's go ahead and fill in our point
0:5:34: zero and our end point one from the
0:5:37: start point to the end point of our
0:5:39: number line is one whole the denominator
0:5:44: is five which tells us that the whole
0:5:46: has been split into five equal parts
0:5:49: let's divide the whole on our number
0:5:51: line into five equal parts our numerator
0:5:55: tells us that we have two fifths let's
0:5:58: count along 1/ f 2
0:6:1: fifths great we have found two fifths on
0:6:4: the number line now let's see an example
0:6:9: the other way around here we have a
0:6:12: number line and a marker the marker is
0:6:15: between 0 and 1 so it can't be a whole
0:6:20: number it must be a
0:6:22: fraction let's work out what fraction
0:6:25: belongs here one whole has been divided
0:6:28: into three equal parts so each of these
0:6:32: parts represents
0:6:34: 1/3 now
0:6:37: 1/3
0:6:38: 2/3 look this marker is pointing to
0:6:42: 2/3 now you see how finding fractions on
0:6:45: a number line is
0:6:47: easy in this video we learned about what
0:6:51: is a fraction and how do we represent a
0:6:53: fraction using numerator and
0:6:56: denominator then we worked out some
0:6:59: examples to tell fractions from given
0:7:1: shaded
0:7:2: figures lastly we saw how to represent a
0:7:5: fraction on the number line and also how
0:7:9: to tell a fraction marked on the number
0:7:12: line to learn about more such topics
0:7:15: open the urv app where you get video
0:7:17: lectures chapter notes and McQ tests for
0:7:20: this chapter to solidify your Concepts
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