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Chapter 5: Q53. (page 225)

Write the decimal as a fraction or mixed number.

0.12炉

Short Answer

Expert verified

The fraction is 433.

Step by step solution

01

Step 1. Given information

Consider, the decimal 0.12炉 provided in question.

02

Step 2. Calculation

Let x=0路12炉

x=0路121212..... 鈥︹�� (1)

Clearly, 12 is the only digit which is repeating in equation (1)

Multiply equation (1) by 100 on both sides

100x=12路1212..... 鈥︹�� (2)

Subtract equation (1) from equation (2),

Therefore,

100x鈭�x=(12鈰�1212.....)鈭�(0鈰�121212.....)99x=12x=1299x=433

Thus, the fraction number that can be formed is433.

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Most popular questions from this chapter

Show that the number is rational by writing it as a quotient of two integer.

5718

Order the numbers from least to greatest.

0.3,鈥�0.3炉,0.30炉,-0.3,-0.3炉

Write the fraction or mixed number as a decimal.

-958

Find the least common multiple of the numbers.

18, 60

Solve the inequality. Graph your solution.

3s>-27
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