Find each sum or difference. See Example 1.9⁄10 - ( -4⁄3)

Question

Accepted Answer

Hey, everyone. Here we are asked to perform the indicated operations in the given expression, seven divided by 12 minus negative five divided by seven. Here we have four answer choice options, answer choice. A negative 11 divided by 84. Answer B 11 divided by 84. Answer C negative 109 divided by 84 and answer D divided by 84. So to begin this problem, we can start by simplifying our expression by recalling that when we subtract by a negative, it is the same as just adding the value. So we have seven divided by 12 plus five divided by seven. And now, before we can sum the two fractions, we first need to find their common denominators. So to find the least common denominator, we need to look at the values in our current denominators which are 12 and seven. And now we can notice that the values 12 and seven do not share a common factor. So to find the least common denominator, we simply multiply 12 and seven and this gives us a least common denominator of 84. So now we just need to manipulate both fractions. So that both of their denominators are 84. Beginning with our first fraction. Recalling we have seven divided by 12. We now need to multiply its numerator and denominator by seven. So that again, we get 84 in its denominator. And now adding our second fraction where again, we had five divided by seven, we now need to multiply its numerator and denominator by 12. And so now just simplifying here, we have 49 divided by plus 60 divided by 84. And now that we have found common denominators for both of the fractions, we can begin combining their numerators. So we have 49 plus 60 all divided by 84. And now just summing the values in the numerator, we have 49 plus 60 which gives us 109 divided by 84. And now there are no further simplifications that we can make. So this is our final answer which leaves us with answer choice D where again, we have 109 divided by 84. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Find each sum or difference. See Example 1.9⁄10 - ( -4⁄3)

Key Concepts

Fractions

Negative Numbers

Order of Operations

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