Question

Write 54 + 63 as the product of the GCF of 54 and 63 and another sum

Answer 1

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

We can prove this by solving both expressions:

54+63 = 9*(6+7)

117 = 9*13

117 = 117

The results are equal so we prove it is right.

Answer 2

The GCF: 54: 1,2,3,6,9,18,27,54 63: 1,3,7,9,21,63 The common factors: 1,3,9 Greatest one: 9 Divided: 54 divide 9= 6 63 divided 9= 7 54+63= 9x(6+7)