You first need to make the denominators on both fractions the same and how to do that is simple. What does 6 and 8 go into to? Well, the answer is 24. You multiply 5/6 into 4 and you should get 20/24. Then, you multiply 3/8 into 3 and you should get 9/24. Now the last part is easy, you just subtract 20/24 and 9/24 and you should get 11/24 as your answer. It cannot be simplified. Hope it helped.

7 0

3 years ago

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The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side o

Nady [450]

We have that
If you draw a diagram, and draw perpendiculars from the intersection to the sides of the rectangle, you will see they are the mid point of each side.

see the attached figure

If the mid point of the smaller side is ---------> x.
The mid point of the larger side will be -----------> (x + 4) 
The full length if the smaller side will be 2x and the length of the larger side will be 2(x + 4) = 2x + 8

The perimeter = 2 times the length + 2 times the width.
2(2x + 8) + 4x = 56
4x + 16 + 4x = 56
8x = 40
x = 5
Therefore
length = 2x + 8 = 18cm
width = 2x = 10cm

the answer is
the lengths of the sides of the rectangle are
length = 18cm
width = 10cm

7 0

3 years ago