Question

simplify the numerical expression 3-1/2+5/7÷3/4-1/2×2-1/2​

Answer 1

$\frac{90}{7}$ a fractional number =  3-1/2+5/7÷3/4-1/2×2-1/2​  

12.857 as a rational number=  3-1/2+5/7÷3/4-1/2×2-1/2​  

Step-by-step explanation:

Given:

3-1/2+5/7÷3/4-1/2×2-1/2​

To find:

Simplify the terms

Solution:

We have to simplify the terms. We thus simplify the fractional term into a simple fractional number.

On dividing (1÷y) we get  =$y^{-1}$, the inverse of y.  

The fractional number gets simplified into a rational number and thus approximated as a whole number.

Applying the BODMAS rule that first division, then multiplication comes addition and subtraction have to be done.

⇒(3-$\frac{1}{2}$+$\frac{5}{7}$) ÷($\frac{3}{4}$-$\frac{1}{2}$×2-$\frac{1}{2}$)

⇒(3-$\frac{1}{2}$+$\frac{5}{7}$)

                 

  ($\frac{3}{4}$-$\frac{1}{2}$×2-$\frac{1}{2}$)

⇒($\frac{6}{2}$-$\frac{1}{2}$+$\frac{5}{7}$)

               

   ($\frac{3}{4}$-$\frac{1}{2}$×2-$\frac{1}{2}$)

⇒($\frac{5}{2}$+$\frac{5}{7}$)

           

($\frac{3}{4}$-1-$\frac{1}{2}$)

⇒  ($\frac{5}{2}$+$\frac{5}{7}$)        

               

     ($\frac{3}{4}$-$\frac{2}{2}$-$\frac{1}{2}$)

⇒$\frac{35}{14}$+$\frac{10}{14}$

             

 ( $\frac{3}{4}$-$\frac{1}{2}$)

⇒ $\frac{45}{14}$

         

 ( $\frac{3}{4}$-$\frac{2}{4}$)

On transfer of  $\frac{1}{4}$ which is the inverse of term y when dividing the term, On applying this format can be,  

⇒  $\frac{45}{14}$

           

     $\frac{1}{4}$

⇒ $\frac{45}{14}$×4

⇒$\frac{90}{7}$

Thus we get the simple fractional number as  $\frac{90}{7}$.

⇒ $\frac{90}{7}$ =12.857

On approximate the value 12.857, we get 13, a whole number

⇒13

Thus we get the simple fractional number of 12.857.

Hence,

On simplification we get,

  3-1/2+5/7÷3/4-1/2×2-1/2​  =  $\frac{90}{7}$ a fractional number.

  3-1/2+5/7÷3/4-1/2×2-1/2​  = 12.857 as a rational number.