Difference between the largest and the smallest of the fraction :5/8, 2/6, 4/9, 1/2 is.

Question

just answer , no steps

 

Answer 1

This question has 2 parts:

1. Organizing the fractions from largest to smallest
2. Subtracting the smallest fraction from the largest

 

First let's order the fractions.  To do that, change all of the fractions so they have the same divisor (bottom of the fraction).  The simplest way to make sure all the fractions have the same divisor is to just multiply by every divisor.  For example:

 

Our divisors are 8, 6, 9, 2.  So 8 * 6 * 9 * 2 = 864

 

Now multiply every number by the divisors it does not have:

 

For example - 5's divisor needs to be multiplied by 6, 9, 2

 

5 * 6 * 9 * 2 = 540

 

Do this for every number:

 

5/8 -> 540/864

2/6 -> 288/864

4/9 -> 382/864

1/2 -> 432/864

 

So our smallest fraction is 2/6 and our largest fraction is 5/8.

 

Now to subtract these let's do the same method to get a common divisor:

Divisor - 6 * 8 = 48

 

2 * 8 = 16

5 * 6 = 30

 

So our fractions become 16 / 48 and 30 / 48

 

Subtract them yields 14 / 48

 

14/48 can be reduced to 7/24.