Convert 11.3 to a Simplified Fraction: Decimal Transformation Exercise

Count the decimal places! $11.3$ has one digit after the decimal point, so it represents tenths. The denominator matches the place value: 1 decimal place = tenths = 10.

No! $\frac{3}{10}$ is already in lowest terms because 3 and 10 share no common factors other than 1. Always check if you can divide both numerator and denominator by the same number.

Count decimal places: $11.25$ has two decimal places, so write it as $11\frac{25}{100}$, then simplify to $11\frac{1}{4}$ by dividing both 25 and 100 by 25.

Convert it back to a decimal! $11\frac{3}{10} = 11 + \frac{3}{10} = 11 + 0.3 = 11.3$. If you get your original decimal, you're right!

Yes! $11\frac{3}{10} = \frac{113}{10}$. Multiply the whole number by the denominator, add the numerator: $\frac{11 \times 10 + 3}{10} = \frac{113}{10}$.