Question

Q5) Express the following decimals in the form of p/
q

a. 0.17777777....

Answer 1

Let x = 0.17777777...... |

| EQUATION 1

10x = 10 × 0.177777.... |

10x = 1.77777..... | EQUATION 2

let equation 2 - equation 1

= 10x = 1.77777.....

- x = 0.17777......

9x = 1.6000....

9x = 1.6

x = 1.6

9

x = 16

9×10

x= 16

90

Hope this Helps!