Find the lcd to each the fractions and then add them together 1/4 + 2/5 + 1/3

The LCD of these fractions is 60!

The sum of these fractions is !

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LCD is 60 and the sum is

Solution:

First let’s list the multiple of the denominators,

Multiples of 4 is 4,8,12,16,20,24,28,32,36,40,44,48,52,56, 60,64

Multiples of 5 is 5,10,15,20,25,30,35,40,45,50,55,60,65

Multiples of 3 is 3,6,9,12,15,18,21,24,27,30,33,36,39,42,25,48,51,54,57,60,63

We can see that the least common number of the set of denominators in the list is 60 .

So, the LCD of the fractions are 60.

To add or subtract fractions with different denominators, multiply each numerator and denominator by same factor used to multiply the corresponding denominator when reaching the LCD.

Now adding them we get,

(as the LCD is 60)

On solving we get,

The sum is

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

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