Question

write 10 rational numbers between-3/4 and 5/6​

Answer 1

Answer:

Answer:

\frac{151}{400},\frac{152}{400},\frac{153}{400},\frac{154}{400},\frac{155}{400},\frac{156}{400},\frac{157}{400},\frac{158}{400},\frac{159}{400}

400

151

,

400

152

,

400

153

,

400

154

,

400

155

,

400

156

,

400

157

,

400

158

,

400

159

Step-by-step explanation:

Given : Number between \frac{-3}{4}

4

−3

and \frac{5}{6}

6

5

To find : The 10 rational number between numbers?

Solution :

Rational number is defined as the number which can be written in p/q form where p and q are integers and q is nonzero or written in fraction form.

First we make their denominator same so that we easily find number between them,

x=\frac{-3}{4}x=

4

−3

x=\frac{-3\times 6}{4\times 6}x=

4×6

−3×6

x=\frac{-18}{24}x=

24

−18

y=\frac{5}{6}y=

6

5

y=\frac{5\times 4}{6\times4}y=

6×4

5×4

y=\frac{20}{24}y=

24

20

Now, The 10 number between -18 and 20 are -17,-16,-15,-14,-13,-12,-11,-10,-9,-8

Therefore, The rational number between \frac{-3}{4}

4

−3

and \frac{5}{6}

6

5

are

\frac{-17}{24},\frac{-16}{24},\frac{-15}{24},\frac{-14}{24},\frac{-13}{24},\frac{-12}{24},\frac{-11}{24},\frac{-10}{24},\frac{-9}{24},\frac{-8}{24}

24

−17

,

24

−16

,

24

−15

,

24

−14

,

24

−13

,

24

−12

,

24

−11

,

24

−10

,

24

−9

,

24

−8