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Chapter 12: Q 12.56 (page 1194)

Write the repeating decimal 0.8 as a fraction.

Short Answer

Expert verified

Fraction form of0.8is89.

Step by step solution

01

Step 1. Given information

Repeating decimal is0.8.

02

Step 2. Write the repeating decimal as a fraction. 

Consider the repeating decimal 0.8

0.8=0.8888888...=0.8+0.08+0.008+0.0008+...

Let a,rdenote the first term and the common ratio respectively.

a=0.8r=0.080.8=0.1

So,

Sn=a1-r0.8+0.08+0.008+0.0008+...=0.81-0.1=0.80.9=89

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