Fraction \(\tfrac{7}{25}\) is equal to the decimal number _____.
Fraction \(\tfrac{7}{25}\) is equal to the decimal number 0.28.
Goal: Write the fraction \(\tfrac{7}{25}\) as a decimal.
Step 1: Decimals come from fractions with a denominator like 10, 100, 1000, …
Step 2: Make the denominator 100. Since \(25 \times 4 = 100\), multiply the top and bottom by 4.
\(\tfrac{7}{25} \times \tfrac{4}{4} = \tfrac{28}{100}\)
Step 3: A fraction with denominator 100 is read as hundredths: \(\tfrac{28}{100} = 0.28\).
Therefore, \(\tfrac{7}{25} = 0.28\).
Quick check: \(7 \div 25 = 0.28\).