Question

Q6. Find four rational numbers between -3/5 and -2/5​

Answer 1

Answer:

Hope it helps

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Answer 2

Answer:

Four rational numbers between  $\frac{-3}{5}$ and $\frac{-2}{5}$  = $\frac{-1}{2} ,\frac{-7}{15}, \frac{-8}{15}, \frac{-9}{20}$

Step-by-step explanation:

Given,

Two rational numbers $\frac{-3}{5}$ and$\frac{-2}{5}$

To find,

Four rational numbers between the given two rational numbers

Solution:

Two find rational numbers between two rational numbers, we should find the equivalent fractions of the given rational numbers

Equivalent rational numbers are the rational numbers with same denominator

We have  $\frac{-3}{5}$ and $\frac{-2}{5}$

To find the equivalent fractions, let us make the denominator of both the rational numbers as '10'

Multiply and divide both numerator and denominator of the rational numbers by 2 we get

$\frac{-3}{5} = \frac{-3}{5} X\frac{2}{2} = \frac{-6}{10}$

$\frac{-2}{5} = \frac{-2}{5} X\frac{2}{2} = \frac{-4}{10}$

The equivalent fractions of   $\frac{-3}{5}$ and$\frac{-2}{5}$  are $\frac{-6}{10}$ and $\frac{-4}{10}$

Rational number  between  $\frac{-3}{5}$ and$\frac{-2}{5}$ = Rational number between  $\frac{-6}{10} \ and \ \frac{-4}{10} = \frac{-5}{10}$

To get another set of equivalent fractions  $\frac{-3}{5}$ and$\frac{-2}{5}$,  let us make the denominator of both the rational numbers as '15'

Multiply and divide both numerator and denominator of the rational numbers by 3 we get

$\frac{-3}{5} = \frac{-3}{5} X\frac{3}{3} = \frac{-9}{15}$

$\frac{-2}{5} = \frac{-2}{5} X\frac{3}{3} = \frac{-6}{15}$

The equivalent fractions of   $\frac{-3}{5}$ and$\frac{-2}{5}$  are $\frac{-9}{15} \ and\ \frac{-6}{15}$

Rational numbers between  $\frac{-3}{5}$ and$\frac{-2}{5}$ = Rational numbers  between   $\frac{-9}{15} \ and\ \frac{-6}{15}$ = $\frac{-7}{15}, \frac{-8}{15}$

To get another set of equivalent fractions  $\frac{-3}{5}$ and$\frac{-2}{5}$, let us make the denominator of both the rational numbers as '15'

Multiply and divide both numerator and denominator of the rational numbers by 4 we get

$\frac{-3}{5} = \frac{-3}{5} X\frac{4}{4} = \frac{-12}{20}$

$\frac{-2}{5} = \frac{-2}{5} X\frac{4}{4} = \frac{-8}{20}$

The equivalent fractions of  $\frac{-3}{5}$ and$\frac{-2}{5}$  are $\frac{-12}{20} \ and \ \frac{-8}{20}$

Rational numbers between  $\frac{-3}{5}$ and$\frac{-2}{5}$ = Rational numbers  between   $\frac{-12}{20} \ and \ \frac{-8}{20}$ = $\frac{-9}{20}, \frac{-10}{20},\frac{-11}{20}$

Four rational numbers between  $\frac{-3}{5}$ and $\frac{-2}{5}$ = $\frac{-5}{10} ,\frac{-7}{15}, \frac{-8}{15}, \frac{-9}{20}$

= $\frac{-1}{2} ,\frac{-7}{15}, \frac{-8}{15}, \frac{-9}{20}$

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