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# Express the following in the form p/q , where p and q are integers and q ≠ 0 : 0.888

**Solution:**

Given, the number is 0.888

We have to express the number in p/q form.

A recurring decimal is a decimal representation of a number whose digits are repeating its values at regular intervals.

The infinitely repeated portion is not zero.

Let x = 0.888 -------- (1)

Multiplying by 10 both sides,

10x = 10(0.888)

10x = 8.88 --------- (2)

On subtracting (1) and (2),

10x - x = 8.888 - 0.888

9x = 8.0000

x = 8.0000/9

Therefore, x = 8/9

**✦ Try This: **Express 0.666 in the form p/q

Given, the number is 0.666

We have to express the number in p/q form.

A recurring decimal is a decimal representation of a number whose digits are repeating its values at regular intervals.

The infinitely repeated portion is not zero.

Let x = 0.666 -------- (1)

Multiplying by 10 both sides,

10x = 10(0.666)

10x = 6.666 --------- (2)

On subtracting (1) and (2),

10x - x = 6.666 - 0.666

9x = 6.0000

x = 6/9

Therefore, x = 2/3

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 7(ii)**

## Express the following in the form p/q , where p and q are integers and q ≠ 0 : 0.888

**Summary:**

p/q form of the number 0.888 is 8/9, where p and q are integers and q ≠ 0

**☛ Related Questions:**

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