Question

\(A=\frac{10.20+20.90}{100.5+100.5}\)

Answer 1

\(A=\frac{10.20+20.90}{100.5+100.5}=\frac{20.\left(10+90\right)}{100.\left(5+5\right)}\)

\(=\frac{20.100}{100.10}=\frac{20}{10}=2\)

Answer 2

\(A=\frac{10.20+20.90}{100.5+100.5}\)=\(\frac{2.1+1.18}{5.1+5.1}=\frac{20}{10}=2\)

Answer 3

\(A=\frac{200+1800}{500+500}\\ A=\frac{2000}{1000}\\ A=2\)

Answer 4

\(A=\frac{10\cdot20+20\cdot90}{100\cdot5+100\cdot5}\)

\(A=\frac{20\cdot\left(90+10\right)}{\left(5+5\right)\cdot100}\)

\(A=\frac{20\cdot100}{10\cdot100}\)

\(A=\frac{20}{10}\)

\(A=2\)