use the gcf of 48 and 30 to write the sum of the two numbers as the product of their gcf and another sum

_(_) + _(_) = _(_+_) = _(_)

_= blank space

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Respuesta :

gmany gmany · Answer 1 · 2019-09-06T23:45:09+02:00

Step-by-step explanation:

48 = 6 · 8

30 = 6 · 5

48 + 30 = 6(8) + 6(5) = 6(8 + 5) = 6(13)

Distributive property: a(b + c) = ab + ac

48 = 2 · 2 · 2 · 2 · 3

30 = 2 · 3 · 5

GCF(48, 30) = 2 · 3 = 6

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MrRoyal MrRoyal · Answer 2 · 2021-09-17T14:27:13+02:00

GCF of numbers is the highest number that can divide both numbers. The expression for the sum of 48 and 30 is:

[tex]48 + 30 =6(8 + 5) = 6(13) = 78[/tex]

The numbers are given as 48 and 30

So, the expression is

[tex]48 + 30[/tex]

Their GCF is 6. So, we have:

[tex]48 + 30 = 6 \times 8 + 6 \times 5[/tex]

Factor out 6

[tex]48 + 30 = 6 \times (8 + 5)[/tex]

Solve the expression in brackets

[tex]48 + 30 = 6 \times 13[/tex]

Evaluate the product

[tex]48 + 30 = 78[/tex]

Hence, the expression is: [tex]48 + 30 =6(8 + 5) = 6(13) = 78[/tex]