Convert Decimal 2.9: Finding All Equivalent Representations

Count the decimal places! One digit after the decimal point = tenths, two digits = hundredths. Since 2.9 has one digit (9), it goes in the tenths place as $\frac{9}{10}$.

Because $1\frac{93}{10} = 1 + 9.3 = 10.3$, not 2.9! The whole number part of 2.9 is clearly 2, not 1.

Always convert the decimal part separately first. For 2.9: decimal part is 0.9, which equals $\frac{9}{10}$. Then combine: $2 + \frac{9}{10} = 2\frac{9}{10}$.

Convert it back to a decimal! $2\frac{9}{10} = 2 + \frac{9}{10} = 2 + 0.9 = 2.9$ ✓. If you get the original decimal, your answer is right!

Yes, if possible! But $\frac{9}{10}$ is already in lowest terms since 9 and 10 share no common factors other than 1.