Question

simplify 7/6*-3/28 and find the reciprocal

Answer 1

Answer:

89/84 and its reciprocal is 84/89.

Step-by-step explanation:

given :  7/6 - (3/28)

To find :  simplify and also find the reciprocal.

solution: Reciprocal  is simply defined as the inverse of a value or a number. If n is a real number , then its reciprocal will be 1/n.

7/6 - 3/ 28 = 7    -  3  

                      6        28

                  = 7×28 - 3×6  

                            6×28

                    =196 -18

                         168

7/6 - 3/28  =178/168 =89/84

the reciprocal of 89/84 = 84/89

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Answer 2

Answer:

The simplification of   $\frac{7}{6}$ × $- \frac{3}{28}$ is $- \frac{1}{8}$ and its reciprocal is -8

Step-by-step explanation:

Given:  $\frac{7}{6}$ × $- \frac{3}{28}$

To find: Simplify the given values and find the reciprocal terms

Solution:

Given that,

 $\frac{7}{6}$ × $- \frac{3}{28}$

⇒ $\frac{7}{6} .\frac{-3}{28}$

⇒$\frac{-21}{168}$

⇒ $-\frac{1}{8}$

By simplifying $\frac{7}{6}$ × $- \frac{3}{28}$ we get the value is $- \frac{1}{8}$

Now find the reciprocal for that values.

Reciprocal of a number:

• The inverse of a value or a number is what is commonly referred to as a reciprocal.
• If n is a real number, then 1/n will be n's reciprocal. Therefore, we must change the number to its upside-down form.
• For instance, 1 divided by 9 is the reciprocal of 9, or 1/9.

Therefore the reciprocal for the term $- \frac{1}{8}$ is -8

Final answer:

The simplification of   $\frac{7}{6}$ × $- \frac{3}{28}$ is $- \frac{1}{8}$ and its reciprocal is -8

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