Question

list 5 rational number between by steps -3/5 and 2/3

Answer 1

Answer

Converting the given rational numbers with the same denominators

$2</h2><h2>−3</h2><h2> </h2><h2> = </h2><h2>2×3</h2><h2>−3×3</h2><h2> </h2><h2> = </h2><h2>6</h2><h2>−9</h2><h2></h2><h2> and</h2><h2>3</h2><h2>5</h2><h2> </h2><h2> = </h2><h2>3×2</h2><h2>5×2</h2><h2> </h2><h2> = </h2><h2>6</h2><h2>10</h2><h2>$

We know that −9<−8<−7<−6<…<0<1<2<8<9<10

⇒

$6</h2><h2>−9</h2><h2> </h2><h2> < </h2><h2>6</h2><h2>−8</h2><h2> </h2><h2> < </h2><h2>6</h2><h2>−7</h2><h2> </h2><h2> < </h2><h2>6</h2><h2>−6</h2><h2> </h2><h2> <…< </h2><h2>6</h2><h2>0</h2><h2> </h2><h2> < </h2><h2>6</h2><h2>1</h2><h2> </h2><h2> < </h2><h2>6</h2><h2>2</h2><h2> </h2><h2> <…< </h2><h2>6</h2><h2>8</h2><h2> </h2><h2> < </h2><h2>6</h2><h2>9</h2><h2> </h2><h2> < </h2><h2>6</h2><h2>10</h2><h2>$

.

Thus, we have the following five rational numbers between

$2</h2><h2>−3 \: </h2><h2> </h2><h2> and \: </h2><h2>3</h2><h2>5</h2><h2> </h2><h2> </h2><h2>⇒ </h2><h2>6</h2><h2>−8</h2><h2> </h2><h2> , </h2><h2>6</h2><h2>−7</h2><h2> </h2><h2> , </h2><h2>6</h2><h2>0</h2><h2> </h2><h2> , </h2><h2>6</h2><h2>1 \: </h2><h2> </h2><h2> and \: </h2><h2>6</h2><h2>2</h2><h2> </h2><h2>$

Answer 2

Answer:

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Step-by-step explanation: