Question

Express the recurring decimal number 0.456 is equal to 0.4656565...

Answer 1

x=0.456565656.......

multiple 100 on both sides

x*100=0.4565656.....*100

100x=45.65656........

(--)x = 0.45656.....

-----------------------------------

99x =45.200000

x=45.2/99

=452/990