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Eris has two pieces of wood with lengths of 72 cm and 90 cm. She wants to cut them
into smaller pieces of equal length with no remainders. What is the greatest possible
length of each of the smaller pieces of wood?


Sagot :

Answer:

First factor 72 and 90 to get:

72=2 x 3 x 3 x 4 = (2x3x3)x4

90 =2 x 2 x 3 x 3 x 5 = (2x3x3)x5

We see that (2x3x3) is common to 72 and 90. We will now rewrite the factors as 72 =18 x 4 and 90 = 18 x 5

We can cut each cloth into strips that are 18 inches wide to get 4+5= 9 18 inch strips of cloth.