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Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?

3(15 + 24)
9(5 + 8)
(5)(9) + (2)(36)
(3)(15) + (8)(9)Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?

3(15 + 24)
9(5 + 8)
(5)(9) + (2)(36)
(3)(15) + (8)(9)

User Witiko
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5.6k points

2 Answers

2 votes

Answer:

equivalent expression is 9(5+8)

Explanation:

i did edg.

User Debajit Majumder
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6.4k points
6 votes

Answer:

equivalent expression is 9(5+8)

Explanation:

45 + 72

We find out the GCf for 45 and 72

GCf is greatest common factor

45 ---> 1, 3, 5, 9, 15, 45

72 ----> 1,2,3,4,6,8,9,12,18,24,36,72

Greatest common factor is 9 for both 45 and 72

We use GCf 9

When we factor out 9 then we divide both numbers by 9

45 divide by 9 is 5 and 72 divide by 9 is 8

45 + 72 becomes 9 (5+8)

So equivalent expression is 9(5+8)


User Bhuvanesh
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5.7k points