What is 20/14 as a Decimal?

Fraction to Decimal Converter

What is 20/14 as a decimal?

Answer

Fraction 20/14 as a decimal is

1.428571

≈ 1.43 to hundredths

Repeating decimal: 6/14 = 3/7 · denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 428571 — 6 digits repeat forever

20 = 1 × 14 + 6: whole part 1, then divide the remainder 6

remainder	×10	= digit × 14 + new remainder	digit
6	60	4 × 14 + 4	4
4	40	2 × 14 + 12	2
12	120	8 × 14 + 8	8
8	80	5 × 14 + 10	5
10	100	7 × 14 + 2	7
2	20	1 × 14 + 6	1

Remainder 6 is back after the 6th division → the 6 digits 428571 repeat: 0.428571.

1 + 0.428571 = 1.428571

Fraction 20/14 as a decimal is 1.(428571)

To convert 20/14 to a decimal, divide the numerator by the denominator: 20 ÷ 14 = 1.(428571).

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: 20/14 ≈ 142.86%.