Question

What is the quotient of 5/6 divided by 2/7

Answer 1

Fractions

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Let's solve the problem given to us today! The problem is the following:

`\mapsto\quad\bf{\cfrac{5}{6}/\cfrac{2}{7}}`

We need to divide these two fractions.

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To divide fractions, you flip the fraction that you're dividing by, and multiply the two fractions.

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The fraction we're dividing by is 2/7; if we flip it, we'll get 7/2.

Now, we multiply the two fractions:

`\mapsto\quad\bf{\cfrac{5}{6}*\cfrac{7}{2}}`

`\mapsto\quad\bf{\cfrac{5\cdot7}{6\cdot2}}`

`\mapsto\quad\bf{\cfrac{35}{12}}`

Therefore, our result is 35/12.

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Answer 2

`(35)/(12)`

Explanation:

We can execute the division of fractions:

`(5)/(6) / (2)/(7)`

by using the process:

1. Skip
2. Flip
3. Multiply

We skip the first fraction (the dividend), flip the second fraction (the divisor), and then multiply the resulting two fractions:

`(5)/(6) * (7)/(2) = \boxed{(35)/(12)}`

This can also be represented as a mixed number:

`(35)/(12) = \boxed{2(11)/(12)}`