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

Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 6(3/4)/(3/8)

Accepted Answer

Hey everyone here we are asked to evaluate two times 2/5 divided by six 35th. And so our first step here is to rewrite our mixed number into an improper fraction. So taking this two times 2/5. Well we need to multiply two times 5/5. And with this we can add it to to fifth. So two times 5/5 gives us 15th plus 2/5. And we can see that our mixed number here turns into the improper fraction 12 5th. And so with this we can rewrite our given expression as 12 5th divided by six 35th. And now we need to recall for when we divide fractions, we need to multiply by the reciprocal of one of the fractions. So you can take either of these fractions. I'm going to choose six 35th and the reciprocal of six, 35th is 35 6th. So our expression here is just 12 5th times 36 Or sorry 35 6. And so with this we want to find our common factors so we can see that in the numerator We have the values and 35. And in the denominator We have the values five and 6. So our common factors. Our common factors are we can take 12 divided by six and we can also take 35 divided by five. Well 12 divided by six gives us two divided by one and 35 divided by five gives us seven divided by one. So now we can just multiply these two reduced fractions. So our expression is really just two divided by one times seven divided by one. So this is just two times seven. And so we can see that our answer here is just two times seven, which is 14. And with this we are left with 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. 6(3/4)/(3/8)

Key Concepts

Multiplication of Fractions

Division of Fractions

Simplifying Fractions

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