Converting Fractions to Decimals (Repeating or Terminating)

Strengthen your understanding of number forms with Converting Fractions to Decimals (Repeating or Terminating)! This playsheet shows you how every fraction can be written as a decimal — some that stop neatly and others that repeat endlessly. By practicing these conversions, you’ll become more confident comparing numbers and recognizing hidden patterns in math.

You’ll begin by exploring terminating decimals, the decimals that come to a clean stop. You’ll see how fractions with denominators that contain only factors of 2 and 5 create decimals that end, such as 1/8 = 0.125. Understanding why certain decimals terminate helps you quickly identify which fractions will convert smoothly.

Then, you’ll discover repeating decimals, the ones that continue with a pattern that never ends. You’ll practice dividing numerators by denominators to reveal patterns like 0.272727… or 0.454545…. Seeing how repeating digits form helps you understand that even infinite decimals can still represent exact rational numbers.