Question

Simplify and find the reciprocal of 7/6 x -3/28

Answer 1

Simplified it is -1 / 8

Reciprocal is 8/-1 or -8

Explanation:

Multiply

7/6 x -3/28

= 7 x -3 / 6 x 28

= -21 / 168

Simplify

-21/21 = -1

168/21 = 8

-21/168 = -1/8

Find reciprocal

The reciprocal of a fraction is the numerator and denominator reversed

-1/8 > 8/-1

8/-1 is the same as -8

Hope this helps!

Answer 2

The product of
`(7)/(6)` and
`-(3)/(28)` is
`-(1)/(8)`. The reciprocal is
`(8)/(-1)`.

Explanation:

We have to find the product of
`(7)/(6)` and
`-(3)/(28)` before we find the reciprocal.

Before we do this though, we need to review a few words and their definitions.

First, the reciprocal of a fraction is when the numerator becomes denominator and the denominator becomes numerator.

Now we're ready to solve
`(7)/(6) *-(3)/(28)`:

Step 1: Use this rule:
`(a)/(b) *(c)/(d) =(ac)/(bd)`.

`(7*-3)/(6*28)`

Step 2: Simplify 7 × - 3 to - 21.

`(-21)/(6*28)`

Step 3: Simplify 6 × 28 to 168.

`(-21)/(168)`

Step 4: Move the negative sign to the left.

`-(21)/(168)`

Step 5: Simplify
`(21)/(168)` to
`(1)/(8)`.

`-(1)/(8)`

Now that we've found the product, we now must find the reciprocal.

Now using what we know and the process to find the reciprocal.

We can use that knowledge to find it:

`-(1)/(8) =(8)/(-1)`