What is 6/42 as a Decimal?

Fraction to Decimal Converter
Fraction to convert

What is 6/42 as a decimal?

Answer

Fraction 6/42 as a decimal is
0.142857

≈ 0.14 to hundredths

Repeating decimal: 6/42 = 1/7 · denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 142857 — 6 digits repeat forever

6 ÷ 42 by long division

remainder×10= digit × 42 + new remainderdigit
6601 × 42 + 181
181804 × 42 + 124
121202 × 42 + 362
363608 × 42 + 248
242405 × 42 + 305
303007 × 42 + 67

Remainder 6 is back after the 6th division → the 6 digits 142857 repeat: 0.142857.

See Also

Fraction to Decimal Conversion Table

FractionDecimal
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
6/310.193548387096774
6/320.1875
6/330.18
6/340.1764705882352941
6/350.1714285
6/360.16
6/370.162
6/380.157894736842105263
6/390.153846
6/400.15
6/410.14634
6/420.142857
6/430.13953488372093…
6/440.136
6/450.13
6/460.13043478260869…
6/470.12765957446808…
6/480.125
6/490.12244897959183…
6/500.12
6/1000.06

FAQ

What is 6/42 as a decimal?

Fraction 6/42 as a decimal is 0.(142857)

How do you convert 6/42 to a decimal?

To convert 6/42 to a decimal, divide the numerator by the denominator: 6 ÷ 42 = 0.(142857).

Why is 6/42 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 6/42 as a percent?

Multiply by 100: 6/42 ≈ 14.29%.