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Chapter 5: Q65. (page 226)

Write the decimal 0.321炉as a fraction.

Short Answer

Expert verified

The fraction number of 0.321炉 is 53165.

Step by step solution

01

Step 1. Given information

The decimal number is 0.321炉.

02

Step 2. Calculation 

Let x be 0.321炉.

x=0.3212121鈥� 鈥︹�� (1)

Clearly, 21 is the only digit which is repeating in equation (1)

Multiply equation (1) by 10 on both sides,

10x=3.21炉

Consider, 3.21炉=3+0.21炉 but 0.21炉=2199.

3.21炉=3+2199=3脳99+2199=297+2199=31899

Therefore,

10x=31899x=318990=53165

Thus, the fraction number that can be formed is 53165.

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