Question

Find 10 rational numbers between -3/4 and 5/6.

Answer 1

-3/4= -3*3/4*3=-9/12
5/6=5*2/2*6=10/12

(-3/4=-9/12),-8/12,-7/12,-6,12,-5/12,-4/12,-3/12, -2/12,-1/12,0,1/12,2/12,(10/12=5/6)

Answer 2

Answer:

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

Step-by-step explanation:

Given : Number between $\frac{-3}{4}$ and $\frac{5}{6}$

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,

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

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

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

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

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

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

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

Therefore, The rational number between $\frac{-3}{4}$ and $\frac{5}{6}$ are

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