[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.91,0:00:05.22,Default,,0000,0000,0000,,Write 5.1/4 as an improper fraction
Dialogue: 0,0:00:05.22,0:00:07.78,Default,,0000,0000,0000,,Let me remind you an improper fraction
Dialogue: 0,0:00:07.78,0:00:11.73,Default,,0000,0000,0000,,is one where the numerator is gretaer than or equal
Dialogue: 0,0:00:11.73,0:00:17.62,Default,,0000,0000,0000,,to denominator, absolute value of numerator
Dialogue: 0,0:00:17.62,0:00:20.32,Default,,0000,0000,0000,,is greater than or equal to
Dialogue: 0,0:00:20.32,0:00:34.81,Default,,0000,0000,0000,,absolute value of denominator
Dialogue: 0,0:00:36.71,0:00:38.06,Default,,0000,0000,0000,,In this situation right here we have
Dialogue: 0,0:00:38.06,0:00:40.19,Default,,0000,0000,0000,,a mixed number where 5 is the whole number
Dialogue: 0,0:00:40.19,0:00:43.72,Default,,0000,0000,0000,,and 1/4 is a proper fraction as numerator
Dialogue: 0,0:00:43.72,0:00:49.62,Default,,0000,0000,0000,,is less than denominator
Dialogue: 0,0:00:49.62,0:00:54.22,Default,,0000,0000,0000,,So write as an improper fraction I will
Dialogue: 0,0:00:54.22,0:00:55.38,Default,,0000,0000,0000,,show you the methodology
Dialogue: 0,0:00:55.38,0:01:02.07,Default,,0000,0000,0000,,So 5.1/4, the methodology is simple
Dialogue: 0,0:01:02.07,0:01:09.13,Default,,0000,0000,0000,,5 is the same thing as 20/4
Dialogue: 0,0:01:09.13,0:01:13.30,Default,,0000,0000,0000,,So 20/4 + 1/4 = 21/4
Dialogue: 0,0:01:13.30,0:01:17.62,Default,,0000,0000,0000,,Another way to think is 5 x 4 = 20 + 1 = 21
Dialogue: 0,0:01:17.62,0:01:21.53,Default,,0000,0000,0000,,So its 21/4
Dialogue: 0,0:01:21.53,0:01:29.79,Default,,0000,0000,0000,,You take the mixed number or you take the whole part
Dialogue: 0,0:01:29.79,0:01:32.07,Default,,0000,0000,0000,,of the mixed number multiply it with
Dialogue: 0,0:01:32.07,0:01:35.78,Default,,0000,0000,0000,,the denominator & add the numerator to it.
Dialogue: 0,0:01:35.78,0:01:45.02,Default,,0000,0000,0000,,So let us see why it works.
Dialogue: 0,0:01:45.02,0:01:50.13,Default,,0000,0000,0000,,lets us see what 5.1/4 is
Dialogue: 0,0:01:50.13,0:01:56.31,Default,,0000,0000,0000,,We have 5 wholes, this is one whole
Dialogue: 0,0:01:56.31,0:02:05.67,Default,,0000,0000,0000,,let me copy it five times
Dialogue: 0,0:02:05.67,0:02:14.53,Default,,0000,0000,0000,,So that is 2, 3, 4 & that is 5
Dialogue: 0,0:02:14.53,0:02:30.87,Default,,0000,0000,0000,,So we have 5 wholes and then we have 1/4
Dialogue: 0,0:02:30.87,0:02:38.93,Default,,0000,0000,0000,,1/4th of a whole is like this
Dialogue: 0,0:02:43.00,0:02:46.40,Default,,0000,0000,0000,,To write it as a improper fraction
Dialogue: 0,0:02:46.40,0:02:54.20,Default,,0000,0000,0000,,Divide each of the wholes into 1/4ths
Dialogue: 0,0:02:54.20,0:03:02.53,Default,,0000,0000,0000,,This is 4, 1/4ths, another 4,1/4ths another 4,1/4ths
Dialogue: 0,0:03:02.53,0:03:11.40,Default,,0000,0000,0000,,this is another 4, 1/4ths. So how many
Dialogue: 0,0:03:11.40,0:03:25.00,Default,,0000,0000,0000,,1/4ths we have it is 20 , 1/4ths in green
Dialogue: 0,0:03:25.00,0:03:32.60,Default,,0000,0000,0000,,That is the same thing as 5
Dialogue: 0,0:03:37.60,0:03:48.73,Default,,0000,0000,0000,,and then we can add to that 1/4ths.
Dialogue: 0,0:03:48.73,0:03:59.20,Default,,0000,0000,0000,,Then we will get 21/4.
Dialogue: 0,0:03:59.20,0:04:02.87,Default,,0000,0000,0000,,That is the conceptual way of how it works.
Dialogue: 0,0:04:02.87,0:04:06.73,Default,,0000,0000,0000,,Multiply the whole number by the denominator
Dialogue: 0,0:04:06.73,0:04:10.27,Default,,0000,0000,0000,,and add the numertaor to it
Dialogue: 0,0:04:10.27,0:04:13.53,Default,,0000,0000,0000,,5.1/4 = 21/4
Dialogue: 0,0:04:13.53,0:04:19.40,Default,,0000,0000,0000,,5.1/4 =( ( 5x4) + 1)/4