Question

13. Express 0.163 ( bar under 63 ) in the form of p/q​

Answer 1

Answer:

♦ 9/55

Step-by-step explanation:

Given:

• 0.163 ( bar under 63 )

To express:

• Express 0.163 ( bar under 63 ) in the form of p/q

Solution:

Let 0.163 ( bar under 63 ) be x

We have,

• x = 0.16363...

Multipy it by 10, we get:

• 10x = 10 × 0.16363...
• 10x = 1.6363... ...1

Multipy it by 1000, we get:

• 1000x = 163.63... ...2

Now, substract 1 from 2, we get:

• 1000x - 10x = 163.63... - 1.6363...
• 990x = 162

Finally, divide 162 by 990, we have:

• x = 162/990
• x = 81/495
• x = 9/55

Therefore,

Expressing it in form of p/q we have: 9/55

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