Question

5/2*3/7+5/2*(-10/7)+4/7*(-1/2)

Answer 1

We will follow rule of bodmas


B = Brackets 

O = Order

D = Division

M = Multiplication

A = Addition

S = Subtraction


= $\frac{5}{2}$ × $\frac{3}{7}$ + $\frac{5}{2}$ × $\frac{-10}{7}$ + $\frac{4}{7}$ × $\frac{-1}{2}$

= $\frac{5*3}{2*7}$ + $\frac{5*(-10)}{2*7}$ + $\frac{4*(-1)}{7*2}$

= $\frac{15}{14}$ + $\frac{-50}{14}$ + $\frac{-4}{14}$

= $\frac{15+(-50) + (-4) }{14}$

= $\frac{15-50-4}{14}$

= $\frac{-39}{14}$


✔️ First multiply all the fractions as there is no division.

✔️ Then add the product
 
✔️ No need to take L.C.M as denominators are same.


hope it helps