Question

Can someone help with my homework?

Answer 1

1a)
`-(15)/(4)`

1b)
`(95)/(33)`

2a)
`-84`

2b) 1

3a)
`(171)/(550)`

3b)
`4(2)/(7)`

Explanation:

For the first equation, let's use
`(-a)/(b) =(a)/(-b) =-(a)/(b)` to right a new fraction.

Step 1- Reduce the fraction with 4.

`-((12/4)/(4/4) )/((4)/(5) ) = -(3)/((4)/(5) )`

Step 2- Simplify the complex fraction(LCD or Least Common Denominator).

`-(3)/((4)/(5) ) = -(15)/(4)`

An alternative form for this fraction is
`-3(3)/(4) or -3.75`.

For the second equation..

Step 1- Convert the mixed number to an improper fraction.

`(6(3)/(9) )/((11)/(5) ) = ((57)/(9) )/((11)/(5) )`

Step 2- Simplify the complex fraction.

`((57)/(9) )/((11)/(5) ) = (95)/(33)`

An alternative form for this fraction is
`2(29)/(33) or 2.87`.

For the third equation use
`(-a)/(b) =(a)/(-b) =-(a)/(b)`...

Step 1- Simplify the complex fraction(LCD).

`-(7)/((1)/(12) ) = -84`

For the fourth equation...

Write the fraction as a division.

`(12)/(8)`÷
`(3)/(2)`

To divide a fraction, multiply by the reciprocal of that fraction.

`(12)/(8) *(2)/(3) = (12*2)/(8*3)`

Reduce the fraction with 3.

`(4*2)/(8)= (4)/(4) = 1`

For the fifth equation...

Convert the mixed number to an improper fraction.

`(-1(8)/(11) )/(-5(5)/(9) ) = (-(19)/(11) )/(-(50)/(9) )`

Reduce the fraction with -1, this eliminates the negative sign.

Simplify the complex fraction.

`((19)/(11) )/((50)/(9) ) = (171)/(550)`

An alternative form for this fraction is 0.3109.

For the sixth equation..

Write the fraction as a division.

`(3)/(7)`÷
`(1)/(10)`

To divide by a fraction, multiply by the reciprocal of that fraction.

`(3)/(7)`×10=
`(3*10)/(7)`

Multiply the numbers.

`(3*10)/(7) = (30)/(7)`

Alternative form of this fraction is
`4(2)/(7)` or 4.285714.

Hope this helps! :)