What is 12/42 as a Decimal?

Fraction to Decimal Converter

What is 12/42 as a decimal?

Answer

Fraction 12/42 as a decimal is

0.285714

≈ 0.29 to hundredths

Repeating decimal: 12/42 = 2/7 · denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 285714 — 6 digits repeat forever

remainder	×10	= digit × 42 + new remainder	digit
12	120	2 × 42 + 36	2
36	360	8 × 42 + 24	8
24	240	5 × 42 + 30	5
30	300	7 × 42 + 6	7
6	60	1 × 42 + 18	1
18	180	4 × 42 + 12	4

Remainder 12 is back after the 6th division → the 6 digits 285714 repeat: 0.285714.

Fraction 12/42 as a decimal is 0.(285714)

To convert 12/42 to a decimal, divide the numerator by the denominator: 12 ÷ 42 = 0.(285714).

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.

Multiply by 100: 12/42 ≈ 28.57%.