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Chapter 12: Q 12.55 (page 1194)

Write the repeating decimal 0.4as a fraction.

Short Answer

Expert verified

Fraction form of 0.4is equal to49.

Step by step solution

01

Step 1. Given information

Repeating decimal is0.4.

02

Step 2. Write the repeating decimal as a fraction. 

The repeating decimal is 0.4.

0.4=0.444444....=0.4+0.04+0.004+0.0004+...

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

a=0.4r=0.040.4=0.1

Sn=a1-r=0.41-0.1=49

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