Multiply or divide as indicated. Write answers in lowest terms as...

Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 2(2/3)*1(3/5)

Accepted Answer

hey everyone here we are asked to evaluate the expression one and 2/5 times four and 5/7. Now before we can begin solving this problem here we first need to transform our mixed numbers into improper fractions so we can begin with our first term here which is one and 2/5. Well to transform this mixed number, we take the whole number which is one and multiply it by the value in the denominator which is five. And then we can add the value in the numerator which is two. So we add two. And this expression here becomes our new numerator. So we divide this whole expression by the denominator which is five. And now simplifying we see that our improper fraction is 7/5. So now we can repeat this process for our other term which is four and 57. So again taking the whole number which is four, we multiply it by the denominator which is seven and then added to the value in the numerator which is five. And then we divide this expression by the denominator which is seven. Now simplifying we get the improper fraction of 7th. So now we can go ahead and rewrite our original expression as 7/5 times 33/7. So the next step here is to start simplifying by finding our common factors. So looking at the values in our enumerators, we have the values seven and 33. Then in our denominators we have the values five and seven. So again we're checking for our common factors. Well we can see in the numerator we have a seven and we also have a seven in the denominator. So they are the same numbers. So clearly they have a common factor of seven. So we can take the numerator divided by the denominator. So we're left with seven divided by seven, which simplifies to just one. And then our last two values here form the other fraction of 33 5th. Now there aren't any other common factors here. So this can't be simplified further. And now with these two values here we can rewrite our expression and we now have 33 5th times one. So now multiplying these terms, we just are left with our final reduced answer of 5th and this is our answer here for choice B Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Multiply or divide as indicated. Write answers in lowest terms as needed. 2(2/3)*1(3/5)

Key Concepts

Multiplication of Fractions

Mixed Numbers

Simplifying Fractions

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