Which decimal is equal to 4/9?

Which decimal is equal to 4/9?

• A. 0.444...
• B. 0.44
• C. 0.45
• D. 0.46

Answer: (A)

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.