What is 6/7 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 6/7 as a decimal?

Answer

Fraction 6/7 as a decimal is
0.857142

≈ 0.86 to hundredths

Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 857142 — 6 digits repeat forever

6 ÷ 7 by long division

remainder×10= digit × 7 + new remainderdigit
6608 × 7 + 48
4405 × 7 + 55
5507 × 7 + 17
1101 × 7 + 31
3304 × 7 + 24
2202 × 7 + 62

Remainder 6 is back after the 6th division → the 6 digits 857142 repeat: 0.857142.

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Recalculate with different values ↑

Fraction to Decimal Conversion Table

FractionDecimal
6/16
6/23
6/32
6/41.5
6/51.2
6/61
6/70.857142
6/80.75
6/90.6
6/100.6
6/110.54
6/120.5
6/130.461538
6/140.428571
6/150.4
6/160.375
6/170.3529411764705882
6/180.3
6/190.315789473684210526
6/200.3
6/210.285714
6/220.27
6/230.26086956521739…
6/240.25
6/250.24
6/260.230769
6/270.2
6/280.2142857
6/290.20689655172413…
6/300.2

FAQ

What is 6/7 as a decimal?

Fraction 6/7 as a decimal is 0.(857142)

How do you convert 6/7 to a decimal?

To convert 6/7 to a decimal, divide the numerator by the denominator: 6 ÷ 7 = 0.(857142).

Why is 6/7 a repeating decimal?

In lowest terms its denominator 7 has the prime factor 7, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 6/7 as a percent?

Multiply by 100: 6/7 ≈ 85.71%.

See Also