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.
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