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Write the repeating decimal as a fraction..94

Question

Write the repeating decimal as a fraction..94

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Solution

To write the repeating decimal .94 as a fraction, we can follow these steps:

Step 1: Let x be the repeating decimal .94.

Step 2: Multiply both sides of the equation by 100 to remove the decimal point: 100x = 94.

Step 3: Subtract x from both sides of the equation: 100x - x = 94 - x.

Step 4: Simplify the equation: 99x = 94.

Step 5: Divide both sides of the equation by 99 to solve for x: x = 94/99.

Therefore, the repeating decimal .94 can be written as the fraction 94/99.

This problem has been solved

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