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Write 5.1/4 as an improper fraction

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Let me remind you an improper fraction

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is one where the numerator is gretaer than or equal

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to denominator, absolute value of numerator

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is greater than or equal to

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absolute value of denominator

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In this situation right here we have

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a mixed number where 5 is the whole number

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and 1/4 is a proper fraction as numerator

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is less than denominator

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So write as an improper fraction I will

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show you the methodology

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So 5.1/4, the methodology is simple

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5 is the same thing as 20/4

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So 20/4 + 1/4 = 21/4

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Another way to think is 5 x 4 = 20 + 1 = 21

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So its 21/4

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You take the mixed number or you take the whole part

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of the mixed number multiply it with

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the denominator & add the numerator to it.

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So let us see why it works.

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lets us see what 5.1/4 is

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We have 5 wholes, this is one whole

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let me copy it five times

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So that is 2, 3, 4 & that is 5

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So we have 5 wholes and then we have 1/4

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1/4th of a whole is like this

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To write it as a improper fraction

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Divide each of the wholes into 1/4ths

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This is 4, 1/4ths, another 4,1/4ths another 4,1/4ths

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this is another 4, 1/4ths. So how many

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1/4ths we have it is 20 , 1/4ths in green

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That is the same thing as 5

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and then we can add to that 1/4ths.

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Then we will get 21/4.

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That is the conceptual way of how it works.

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Multiply the whole number by the denominator

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and add the numertaor to it

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5.1/4 = 21/4

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5.1/4 =( ( 5x4) + 1)/4