Question

multiply 2/11 with the reciprocal of -15/14​

Answer 1

Answer:

Required resultant of multiplication is

$( - \frac{28}{165} )$

Step-by-step explanation:

Here given two fractions are $\frac{2}{11}$and $- \frac{15}{14}$

Here we want to find multiplication value of

$\frac{2}{11}$ with the reciprocal of $- \frac{15}{14}$

Now we know,

if x is a number then reciprocal of x is $\frac{1}{x}$

So, reciprocal of $( - \frac{15}{14} )$ is $( - \frac{14}{15} )$

So, multiplication of $\frac{2}{11}$ with reciprocal of $( - \frac{15}{14} )$

$= \frac{2}{11} \times ( - \frac{14}{15} ) \\ = - ( \frac{2}{11} \times \frac{14}{15} ) \\ = - \frac{2 \times 14}{11 \times 15} \\ = - \frac{28}{165}$

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549

Answer 2

Answer:

The multiplication of 2/11 with the reciprocal of -15/14 is -28/165.

Step-by-step explanation:

Reciprocal of a number:-

• The inverse of a value or a number is called the reciprocal of a number.

Given:-

The numbers are 2/11 and -15/14.

To find:-

The product of 2/11 with the reciprocal of -15/14.

Step 1 of 1

Consider the given numbers as follows:

2/11 and -15/14

Then,

The reciprocal of the number -15/14 is,

= -14/15

Now,

Compute the multiplication of the numbers 2/11 and -14/15 as follows:

⇒ $\frac{2}{11}\times \left(-\frac{14}{15} \right)$

⇒ -28/165

Final answer: The multiplication of 2/11 with the reciprocal of -15/14 is -28/165.

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