Use the GCF and the Distributive Property to rewrite the following expression: 24 +30

Mathematics

1 answer:

puteri [66]3 years ago

3 0

Answer:

B = 6(4 + 5)

Step-by-step explanation:

GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.

Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac

The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)

24 divided by 6 = 4

30 divided by 6 = 5

This fits B the most: 6(4 + 5)

The answer is B, I hope this helps!

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DENIUS [597]

Part A:

Part B:

$\begin{gathered} 4\frac{5}{6}=\frac{29}{6} \\ 3\frac{4}{6}=\frac{11}{3} \\ so\colon \\ \frac{29}{6}+\frac{11}{3}=\frac{17}{2}=8\frac{3}{6} \end{gathered}$

Part C:

$\begin{gathered} 3\frac{1}{6}=\frac{19}{6} \\ 2\frac{3}{6}=\frac{15}{6} \\ so\colon \\ \frac{29}{6}+\frac{11}{3}+\frac{19}{6}+\frac{15}{6}=\frac{85}{6}=14\frac{1}{6} \end{gathered}$

Part D: