Respuesta :
Answer:
The product of [tex]\frac{7}{6}[/tex] and [tex]-\frac{3}{28}[/tex] is [tex]-\frac{1}{8}[/tex]. The reciprocal is [tex]\frac{8}{-1}[/tex].
Step-by-step explanation:
We have to find the product of [tex]\frac{7}{6}[/tex] and [tex]-\frac{3}{28}[/tex] 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 [tex]\frac{7}{6} *-\frac{3}{28}[/tex]:
Step 1: Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd}[/tex].
[tex]\frac{7*-3}{6*28}[/tex]
Step 2: Simplify 7 × - 3 to - 21.
[tex]\frac{-21}{6*28}[/tex]
Step 3: Simplify 6 × 28 to 168.
[tex]\frac{-21}{168}[/tex]
Step 4: Move the negative sign to the left.
[tex]-\frac{21}{168}[/tex]
Step 5: Simplify [tex]\frac{21}{168}[/tex] to [tex]\frac{1}{8}[/tex].
[tex]-\frac{1}{8}[/tex]
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:
[tex]-\frac{1}{8} =\frac{8}{-1}[/tex]
Answer:
Simplified it is -1 / 8
Reciprocal is 8/-1 or -8
Step-by-step 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!
