Add or subtract as indicated. Write answers in lowest terms as ne...

Question

Add or subtract as indicated. Write answers in lowest terms as needed. 3(1/8) + 2(1/4)

Accepted Answer

Hello. Today we're going to be adding the two given mixed fractions. So what we are given is four and four. Nineths plus one and 5, 18 months. Now before we start adding the fractions together, we want to go ahead and change our mixed fractions into improper fractions. And in order to do that, we're going to change the value of the numerator by taking our denominator and multiplying it with the whole number, then adding that value to the current numerator. And we're going to want to do that to both of the given mixed fractions. So on the left hand side nine times four is going to give us 36 plus four is going to give us 40. So the improper fraction of this mixed fraction is going to have a numerator of 40 and is going to keep the same denominator which is nine. And on the right hand mixed fraction 18 times one is going to give us and 18 plus five is going to give us 23. So the right hand improper fraction is going to be 23/ because we go ahead and keep the same denominator. Now, before we add the fractions together, we want to go ahead and have the same denominator as we can add or subtract fractions that don't have the same denominator here we have the denominator of nine and 18 and we need to figure out what's the lowest common denominator between the two. Well the common multiple between nine and 18 is going to be 18. So the lowest common denominator is 18. Now on the right hand fraction, we don't have to multiply this fraction by any value because we already have denominator but on the left hand side in order to change 9 to we can multiply nine by two. And if we multiply the denominator by two then we must also multiply the numerator by two. So we're going to be multiplying 40/9 by 2/2. And doing this is going to give us 80/18 plus 23/18. Now that the fractions have the same denominator 18, we can go ahead and add them together and adding the fractions together is going to give us 80 plus 23/18 And plus 23 is going to give us the value of over 18. And now we have to check to make sure that the answer is in its simplest form in order to know whether it's in its simplest form or not. You want to ask yourself, is there a common multiple between 100 and three and 18? That I can divide them by two, reduce this fraction. Now in this case here, 100 and three and 18 don't have any common multiples. So this is going to be the simplest form of the answer to the addition. And with that being said, the answer to this problem is going to be d. So I hope this video helps you in understanding how to approach this type of problem, and I'll go ahead and see you all in the next video.

Add or subtract as indicated. Write answers in lowest terms as needed. 3(1/8) + 2(1/4)

Key Concepts

Fraction Addition

Multiplication of Fractions

Lowest Terms

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