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

Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 3(1/4)*1(2/3)

Accepted Answer

hey everyone here we are asked to evaluate the expression four and 3/5 times two and 1/6. So now before we can begin multiplying these terms together we first need to transform these mixed numbers into improper fractions so we can begin with our first mixed number here which is four and 3/5. So again we're transforming this into an improper fraction. So we need to take the whole number and multiply it by the value in the denominator and then we can take this product and add it to the value in the numerator. And now we have four times five plus three. Well this expression becomes our new numerator. So we need to divide the expression by the denominator which again is five. So now simplifying, we see that our mixed number becomes the improper fraction of 23 5th. Now we need to repeat this process with the other mixed number which is two and 16. So again we take the whole number which is two and we multiply it by the denominator which is six. We then can add this product to the value in the numerator which is one. We then divide this expression by the denominator which is six and we find that our improper fraction once simplified is 13/6. So with these improper fractions here we can rewrite our original expression so we now have 23/5 times 13/6. And from here we need to see if we can make any simplifications any reductions here by checking for our common factors. So to check for our common factors, we need to look at the values in our enumerators here which are 23 and 13. And then in the denominators we have the values five and six. Well there aren't any common factors here within these values. Sin Neither of the values share a divisible term. So we don't have any common factors. So all we have to do is multiply our improper fractions together. So beginning with the enumerators we have 23 times 13, which gives us 299. And For our denominator we have five times six giving us 30. And again, since there aren't any common factors, this is our final reduced answer of 299 divided by 30, which is answer 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. 3(1/4)*1(2/3)

Key Concepts

Multiplication of Fractions

Mixed Numbers

Simplifying Fractions

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