Alvin and Simon shared £540 in the ratio 4:5

Alvin gave half of his share to Theo.

Simon gave a tenth of his share to Theo.

What fraction of the £540 did Theo receive?

5/18

Step-by-step explanation:

540/9=60

60x4=240 (Alvin's money)

60x5=300 (simon's money)

Alvin gives half so you divide 240 by 2 which is 120

Simon gives a tenth so you divide 300 by ten which is 30

120+30=150

150/540=5/18 (simpliest form)