Question

Show that 1/2×(1/6+1/5) is a rationale number lying between 1/5 and 1/6

Answer 1

please refer to the attachment


Hope it will help you

Answer 2

Answer:

The required $\frac{1}{2}$ × $(\frac{1}{6} +\frac{1}{5} )$ is a rational number lying between $\frac{1}{5}$ and $\frac{1}{6}$ .

Step-by-step explanation:

Concept:

A sort of real number known as a rational number is represented by the formula p/q, where q is not equal to zero. A rational number is any fraction with a non-zero denominator.

Given:

The expression is $\frac{1}{2}$×$(\frac{1}{6} +\frac{1}{5} )$

To find:

The objective is to find out the number that lies between $\frac{1}{5}$ and $\frac{1}{6}$.

Solution:

The given expression: $\frac{1}{2}$ × $(\frac{1}{6} +\frac{1}{5} )$

$=\frac{1}{2} (\frac{5+6}{30} )\\=\frac{1}{2} (\frac{11}{30} )\\=\frac{11}{60}$

Two numbers are $\frac{1}{5}$ , $\frac{1}{6}$ :

$\frac{1}{5}$ × $\frac{12}{12}$ $=\frac{12}{60}$

$\frac{1}{6}$ × $\frac{10}{10} =\frac{10}{60}$

Therefore, $\frac{11}{60}$ is a rational number lying between $\frac{1}{5}$ and $\frac{1}{6}$.

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