Add or subtract, as indicated. 1/6m + 2/5m + 4/m

Question

Accepted Answer

Hey everyone here we are asked to add and simplify the given expression where we have three divided by 80 plus four divided by 70 plus one divided by T. So now our first step here in adding these terms together is to recall that when we add fractions we need to have a common denominator. So taking a look at our value. Use in our denominators we need to find our least common multiple. So in the denominators we have eight T. 70 and just T. But we can see that the coefficients for each of these denominators do not share a common factor. So we just need to multiply each of the coefficients together to find our least common multiple. So multiplying the coefficients by T. We have eight times seven times one again times T. And we see that our least common multiple is just 56 T. So now we need to find the value of which we need to multiply each fraction by so that each fraction has a common denominator of 50 60. So to do this we just need to take our lease Common multiple of 5060 and divided by each of our denominators. So beginning with our first denominator we will have divided by 80 which is just seven. Next we have 5060 divided by which just simplifies to eight. And lastly we have 56 t. Just divided by T. Which gives us 56. So now we need to multiply the enumerators and the denominators by each respective value so that they all share a common denominator. So beginning with our first fraction where we have three divided by H. T. Well as we found earlier we need to multiply the numerator and the denominator by seven. Now moving on to our second fraction where we have four divided by 70. Well we found that we need to multiply the numerator and the denominator by eight. And lastly for our last fraction of one divided by T. We need to multiply the numerator and the denominator by 56. So now we just need to simplify our expression. And so our first fraction simplifies to 21 divided by 50 60 plus our second fraction where we have 32 divided by 50 plus our third fraction which we have divided by 50 60. And so now we can clearly see we have a common denominator for each of our fractions so we can go ahead and just add our enumerators. So our expression becomes 21 plus 32 plus 56. All divided by 50 60 And adding each of these terms together our numerator becomes which is divided by 56 T. And we see that there aren't any common factors between and 56. Therefore there Aren't any other simplifications which we can make. So 109 divided by 5060 is our final simplified answer which leaves us with answer choice a thanks for watching I hope you found this video helpful and I'll see you again next time.

Add or subtract, as indicated. 1/6m + 2/5m + 4/m

Key Concepts

Like Terms in Algebraic Expressions

Adding and Subtracting Fractions

Simplifying Algebraic Expressions

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