3/7*[5/6+11/13]=(3/7*5/6)+(3/7*11/13)
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Answers
Answer:
Step-by-step explanation:
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
So using distributive property of multiplication over addition .
3/7*[5/6+11/13]=(3/7*5/6)+(3/7*11/13)
3/7*[5/6+11/13] = 3/7 *[65/78 + 66/78] = 3/7*131/78=393/546=131/182
(3/7*5/6)+(3/7*11/13) = 15/42 + 33/91 = 5/14+33/91 = 65/182+66/182=131/182