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

Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (24/7)/(6/21)

Accepted Answer

Hey everyone here we are asked to evaluate the expression where we have 56 divided by nine divided by eight divided by 63. Now the key to solving this problem here is to recall that when we divide fractions we need to take the reciprocal of one of the fractions and multiply it by the other fraction. So doing this you can choose either fraction, I'm going to choose this eight divided by 63. Well this fractions reciprocal is just 63 divided by eight. So now we can rewrite our expression. So we We have 56/9 times this reciprocal here, which is 63/8. And now we want to find their common factors here so we can simplify our expression so we can see first in the numerator we have the values 56 and 63. And in the denominator We have the values nine and 8. And so now looking for our common factors out of these values, we see that we have 56 8 which are both divisible by eight. So they both have a common factor of eight. So we can go ahead and divide this numerator value of by this denominator value of eight. So we have 56 divided by eight and this simply applies to seven divided by one and our next common factor here is with this nine and 63 both of these values have a common factor of nine so we can divide them and find our simplified term. So we have 63 divided by nine which simplifies to seven divided by one. So now we can rewrite our expression as seven divided by one, Times seven divided by one. And with this we just have seven times seven, giving us a simplified answer of 49. 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. (24/7)/(6/21)

Key Concepts

Fraction Division

Simplifying Fractions

Multiplication of Fractions

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