Question

\(\dfrac{2021x13+2007+2020x2007}{2020+2020x520+1500x2020}\)

Answer 1

\(\dfrac{2020x13+13+2007+2020x2007}{2020x\left(1+520+1500\right)}\)

\(\dfrac{2020x\left(1+13+2007\right)}{2020x\left(1+520+1500\right)}=\dfrac{2021}{2021}=1\)

Answer 2

A = \(\dfrac{2021\times13+2007+2020\times2007}{2020+2020\times520+1500\times2020}\)

A = \(\dfrac{2021\times13+\left(2007+2020\times2007\right)}{2020+2020\times520+1500\times2020}\)

A = \(\dfrac{2021\times13+2007\times\left(1+2020\right)}{2020\times\left(1+520+1500\right)}\)

A = \(\dfrac{2021\times13+2007\times2021}{2020\times2021}\)

A = \(\dfrac{2021\times\left(13+2007\right)}{2021\times2020}\)

A = \(\dfrac{2021\times2020}{2021\times2020}\)

A = 1