Converting Mixed Numbers to Improper Fractions

u2_l1_t2_we2 Converting Mixed Numbers to Improper Fractions

Write 5.1/4 as an improper fraction

Let me remind you an improper fraction

is one where the numerator is gretaer than or equal

to denominator, absolute value of numerator

is greater than or equal to

absolute value of denominator

In this situation right here we have

a mixed number where 5 is the whole number

and 1/4 is a proper fraction as numerator

is less than denominator

So write as an improper fraction I will

show you the methodology

So 5.1/4, the methodology is simple

5 is the same thing as 20/4

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

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

So its 21/4

You take the mixed number or you take the whole part

of the mixed number multiply it with

the denominator & add the numerator to it.

So let us see why it works.

lets us see what 5.1/4 is

We have 5 wholes, this is one whole

let me copy it five times

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

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

1/4th of a whole is like this

To write it as a improper fraction

Divide each of the wholes into 1/4ths

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

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

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

That is the same thing as 5

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

Then we will get 21/4.

That is the conceptual way of how it works.

Multiply the whole number by the denominator

and add the numertaor to it

5.1/4 = 21/4

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