7/9 as a Decimal
7/9 = 0.7̅
7/9 as a decimal is 0.7̅ — the digit 7 repeat forever (≈ 0.777778).
Step by step
- Divide 7 by 9: 0 whole (so the answer starts 0.), remainder 7.
- Bring down a 0: 70 ÷ 9 = 7, remainder 7.
- Bring down a 0: 70 ÷ 9 = 7, remainder 7.
- Bring down a 0: 70 ÷ 9 = 7, remainder 7.
- Bring down a 0: 70 ÷ 9 = 7, remainder 7.
- Bring down a 0: 70 ÷ 9 = 7, remainder 7.
- Bring down a 0: 70 ÷ 9 = 7, remainder 7.
- Result: 7/9 = 0.7̅ (repeating).
Why it repeats: after removing factors of 2 and 5, the denominator 9 still has the factor 9, so the division never ends and the remainders cycle. The repeating block “7” has 1 digit; round it to the precision you need, for example 0.78 or 0.7778.
Details
- Decimal (rounded)
- 0.777778
- Percent
- 77.7778%
- Type
- Repeating (7 repeats)
- Equivalent fractions
- 14/18, 21/27, 28/36
How it works
A fraction means division: the numerator (top) divided by the denominator (bottom). Use long division, adding zeros after the decimal point until the remainder is zero or a remainder repeats. If the simplified denominator has only 2 and 5 as prime factors, the decimal terminates; otherwise it repeats forever, and the repeating digits are marked with a bar.
Nearby values
Related conversions
Frequently asked questions
What is 7/9 as a decimal?
7/9 = 0.7̅, which rounds to 0.7778.
How do you convert 7/9 to a decimal?
Divide 7 by 9. 7 ÷ 9 = 0.777778….
What is 7/9 as a percent?
77.7778%.
Is 7/9 a terminating or repeating decimal?
Repeating — the block “7” repeats forever.