Which decimal is equal to 4/9?

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Multiple Choice

Which decimal is equal to 4/9?

Explanation:
Think about repeating decimals. A decimal like 0.444... means 4 keeps repeating forever. That pattern is a clue that it represents a fraction. To see why, set x = 0.444... Then 10x = 4.444... Subtracting gives 9x = 4, so x = 4/9. So 0.444... is exactly 4/9. The other options stop after two digits or are larger numbers, so they aren’t exact representations of 4/9. The finite decimals 0.44, 0.45, and 0.46 are approximations, not equal to 4/9.

Think about repeating decimals. A decimal like 0.444... means 4 keeps repeating forever. That pattern is a clue that it represents a fraction. To see why, set x = 0.444... Then 10x = 4.444... Subtracting gives 9x = 4, so x = 4/9. So 0.444... is exactly 4/9.

The other options stop after two digits or are larger numbers, so they aren’t exact representations of 4/9. The finite decimals 0.44, 0.45, and 0.46 are approximations, not equal to 4/9.

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