Fractions as Decimals

Step 1 of 4 · The trick

A fraction is a division. Use long division to get its decimal form.

3/8 means 3 ÷ 8. Divide, keep adding zeros after the decimal point.
Watch the remainder:
• Remainder hits 0 → decimal terminates (e.g. 3/8 = 0.375)
• A remainder repeats → decimal repeats forever (e.g. 2/3 = 0.6̄)

The remainder is your signal: 0 = done · same as before = put a bar.

Step 2 of 4 · 3/8 → terminating

3 8 = 0.___

3/8 = 0.375 · terminates

Step 3 of 4 · 2/3 → repeating

2 3 = 0.___

🔁 Same remainder 2 came back → digit 6 repeats forever → write a bar: 0.6̄

2/3 = 0.6̄ · repeats

Step 4 of 4 · Your turn

Convert the fraction to a decimal.

🏆

Nice work!

Fractions in decimal form — solved.