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Chapter 5: Q55. (page 225)

Write the decimal as a fraction or mixed number.

0.897炉

Short Answer

Expert verified

The fraction is 299333.

Step by step solution

01

Step 1. Given information

Consider, the decimal 0.897炉 provided in question.

02

Step 2. Calculation

Considerx=0.897炉

x=0路897897897...... 鈥︹�� (1)

Clearly, 897 is the only digit that is repeating in equation (1)

Multiply equation (1) by 1000 on both sides,

1000x=897路897897.... 鈥︹�� (2)

Subtract equation (1) from equation (2),

1000x鈭�x=(897鈰�897897.....)鈭�(0鈰�897897897......)999x=897x=897999

Simplify further,

鈬�x=299333

Thus, the fraction number that can be formed is 299333.

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Most popular questions from this chapter

Tell whether the number is a terminating decimal or a repeating decimal.

1. 0.667

Order the numbers from least to greatest.

0.7,鈥�-1,鈥�-54,鈥�43,鈥�-2.3,-92

Write the decimal as a fraction or mixed number.

0.12炉

Describe and correct the error in writing the repeating decimal 5.07878鈥� using a bar.

Find the least common multiple of the numbers.

55, 77
See all solutions

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