Math, asked by kshitij2sathe, 5 months ago

find four rational numbers between -3/2 and 5/3 it is a 8th std rational number question so please keep in mind and answer that way ​

Answers

Answered by MasterDhruva
30

➤ Answer :-

 \dashrightarrow \tt \frac{( - 3)}{2}  \: ; \:  \frac{5}{3}  \\

Convert them into like fractions :-

 \dashrightarrow \tt \frac{( - 3) \times 3}{2 \times 3}  \: ; \:  \frac{5 \times 2}{3 \times 2}  \\

 \dashrightarrow \tt \frac{( - 9)}{6}  \: ; \:  \frac{10}{6}  \\

Now rational numbers between them are

 \dashrightarrow \tt \boxed{ \tt \frac{( - 8)}{6} \: ; \:  \frac{( - 7)}{6} \: ; \:  \frac{( - 6)}{6}   \: ; \:  \frac{( - 5)}{6}  }

Answered by Qwdelhi
0

\frac{-8}{6} ,\frac{-7}{6} ,\frac{1}{6} \ and\  \frac{2}{6} are the rational numbers between \frac{-3}{2} \ and \ \frac{5}{3}

Given:

Two rational numbers -3/2 and 5/3.

To Find:

Any four rational numbers between the given rational numbers.

Solution:

To find any rational numbers between the given two rational numbers, we have to make their denominator into the same number.

To make their denominator common, we will take LCM.

LCM(2,3) = 2 × 3= 6.

\frac{-3}{2} *\frac{3}{3} = \frac{-9}{6} \\\\\frac{5}{3} *\frac{2}{2} = \frac{10}{6} \\

We know that

-9<-8<-7.......<0<1<2<......<5

Dividing each term by 6

\frac{-9}{6} &lt; \frac{-8}{6} &lt; \frac{-7}{6} ........0 &lt; \frac{1}{6} &lt; \frac{2}{6} .......\frac{10}{6}

The rational numbers \frac{-8}{6} ,\frac{-7}{6} ,\frac{1}{6} \ and\  \frac{2}{6} are between the given two rational numbers.

#SPJ3

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