Question

Write each decimal as a fraction or mixed number 0.323232.........

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Answer 1

To write the decimal 0.323232 as a fraction or mixed number, we can use the concept of repeating decimals.

Step 1: Let x be equal to the repeating decimal 0.323232.

Step 2: Multiply x by 100 to shift the decimal point two places to the right:

100x = 32.323232

Step 3: Subtract x from 100x to eliminate the repeating part:

100x - x = 32.323232 - 0.323232

99x = 32

Step 4: Divide both sides of the equation by 99 to solve for x:

x = 32/99

Therefore, the decimal 0.323232 can be written as the fraction 32/99.