Express \(\dfrac{11}{20}\) as a decimal.
\(0.55\)
We want to write \(\dfrac{11}{20}\) as a decimal.
Decimals are easy to write when the denominator is \(10\), \(100\), or \(1000\).
Step 1: Change the denominator from \(20\) to \(100\).
To do that, multiply by \(\dfrac{5}{5}\) (this is just 1, so the value doesn’t change).
\(\dfrac{11}{20} \times \dfrac{5}{5} = \dfrac{11 \times 5}{20 \times 5}\)
\(= \dfrac{55}{100}\)
Step 2: Read \(\dfrac{55}{100}\) as “fifty-five hundredths”.
“Hundredths” means two decimal places.
So, \(\dfrac{55}{100} = 0.55\).
Therefore, \(\dfrac{11}{20} = 0.55\).