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(1/2)/1(5/7)

Accepted Answer

Hello. Today we're gonna be dividing the two given mixed fractions. So what we are given is three and two thirds and we're going to be dividing four and 3/8 to it. Now before you perform any kind of operation with fractions, you always want to change your mixed fractions to improper fractions and you can do that by changing the value of the numerator in order to change the value of the numerator on the left hand side, you're gonna take your denominator and multiply it to the whole number and then you're going to take that value and add it to two and you're gonna do the same thing to both of the mixed fractions. So on the left hand side three times three is going to give us nine and nine plus two is going to give us 11. So the numerator of the left hand side improper fraction is going to be and we're going to keep the same denominator which is going to be three. Now we're going to repeat this process on the right hand side eight times four is going to give us 32 and 32 plus three is going to give us 35. So on the right hand side improper fraction, the numerator is going to be 35 once again we're keeping the same denominator which is going to be eight. Now it's not possible to divide two fractions together. So we're going to need to find a way to change the operation of division to multiplication and we can do that by taking the reciprocal of the right most fraction. Now, when you take the reciprocal of a fraction, all you're doing is just swapping the positions of the numerator and denominator. So the reciprocal of 35/8 is going to be 8/35. And when you take the reciprocal of the right most fraction what you are left with is 11/3 times 8/20 over 35. Now that we have the multiplication, we can go ahead and multiply the fractions together. So we're going to multiply the numerator with numerator and denominator with denominator 11 times eight is going to give us 88 3 times 35 is going to give us 105. Now it's not possible to reduce this any further because 88 100 5 don't have any common multiples between each other. So 88 over 100 and five is going to be the simplest form of the answer. And with that being said, the answer to this problem is going to be a 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

Multiply or divide as indicated. Write answers in lowest terms as needed. 2(1/2)/1(5/7)

Key Concepts

Multiplication and Division of Fractions

Lowest Terms

Mixed Numbers and Improper Fractions

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