Divide. A) -2/3÷8/15

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sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You need to evaluate the quotient `(-2/3)/(8/15)` , hence, you need to multiply the numerator fraction by the inverse of denominator fraction, such that:

`(-2/3)*(15/8) = (-2*15)/(3*8)`

You may write substitute the product `3*5` for 15 and `2*4` for 8 such that:

`(-2*3*5)/(2*3*4)`

Reducing duplicate factors yields:

`(-2*3*5)/(2*3*4) = -5/4`

Notice that performing the multiplication between a negative number and a positive number, yields a negative number.

Hence, evaluating the division of fractions `(-2/3)/(8/15)` yields `(-2/3)/(8/15) = -5/4` .

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

-2/3 ÷ 8/15

Dividing by a fraction is the same as multiplying by its reciprocal. So you actually have: 

-2/3 x 15/8

To multiply fractions, you multiply the denominators and numerators separately and then put them together: 

-2 x 15 = -30
3 x 8 = 24

so the simplified answer is -30/24

If you wish to simplify, divide by a common multiple such as 6 to get : 

-5/4

zumba96's profile pic

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

Posted on

Divide. A) -2/3÷8/15

 To divide this you would actually end up multiplying
`(-2/3)/(8/15)` to -2/3 x 15/8 and flip the second part of the equation
By multiplying you should find -30/24 = -15/12 = -5/4
atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

`-2/3 -: 8/15 `

flip it and multiply

`(-2)/3 xx 15/8 = -30/24 `

-30/24 is the answer but you can simplify it

both -30 and 24 have a common factor of 6 so divide by 6

`-30/24 -: 6 = -5/4 `

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