Question

Use the GCF and the Distributive Property to find the sum. Write each number as a product using the GCF as a​ factor, and apply the Distributive Property. nothing 34, 51

Answer 1

Answer:

$34 + 51 = 85$

Step-by-step explanation:

Given

$34 + 51$

Required

Use GCF and distributive property to determine the sum

34 can be expressed as:

$34 = 2 * 17$

51 can be expressed as:

$51 = 3 * 17$

So, the GCF of both numbers is 17

$34 + 51$ can then be expressed as:

$2 * 17 + 3 * 17$

Apply Distributive Property, we have:

$17(2 + 3)$

Solving further:

$17 * 5$

$85$

Hence:

$34 + 51 = 85$