Math, asked by Namya5514, 1 year ago

(16/15) * (15/16) is equal to

Answers

Answered by DevendraLal
2

Given:

(16/15) * (15/16)

To find:

The simplified value of the given term

Solution:

we have given the simple question of the simplification where we have to use the concept of the BODMAS to get the simplified form of the complex terms.

where the BODMAS is described as:

B - Bracket

O - Of

D - Divide

M - Multiplication

A - Addition

S - Subtraction

here we have given the term as:

(16/15) * (15/16)

which can be properly expressed as:

\frac{16}{15}.\frac{15}{16}

now you can clearly see that both terms are the reciprocal of the other so the terms will cancel out and gives the answer as the multiplicative identity.

Hence, The simplified value of the given term is 1

Answered by pulakmath007
1

SOLUTION

TO DETERMINE

 \displaystyle \sf{ \frac{16}{15}  \times  \frac{15}{16}  \: }

EVALUATION

 \displaystyle \sf{ \frac{16}{15}  \times  \frac{15}{16}  \: }

 =  \displaystyle \sf{ \frac{16 \times 15}{15 \times 16}  \: }

 =  \displaystyle \sf{ 1\: }

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Additional Information :

1. \:  \:  \displaystyle \sf{ \frac{16}{15}  \:  \: is \:the \: multiplicative \: inverse \: of \:  \:   \frac{15}{16}  \: }

2. \:  \:  \displaystyle \sf{ \frac{15}{16}  \:  \: is \:the \: multiplicative \: inverse \: of \:  \:   \frac{16}{15}  \: }

3. \:   \sf{ 1\: \: is \: the \: multiplicative \: identity }

4. \:  \:  \displaystyle \sf{ \frac{16}{15}  \:  \: is \:the \:  reciprocal\: of \:  \:   \frac{15}{16}  \: }

 5. \:  \: \displaystyle \sf{ \frac{15}{16}  \:  \: is \:the  \: reciprocal \: of  \:   \frac{16}{15}  \: }

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