What is 5/35 as a Decimal?

Fraction to Decimal Converter

What is 5/35 as a decimal?

Answer

Fraction 5/35 as a decimal is

0.142857

≈ 0.14 to hundredths

Repeating decimal: 5/35 = 1/7 · denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 142857 — 6 digits repeat forever

remainder	×10	= digit × 35 + new remainder	digit
5	50	1 × 35 + 15	1
15	150	4 × 35 + 10	4
10	100	2 × 35 + 30	2
30	300	8 × 35 + 20	8
20	200	5 × 35 + 25	5
25	250	7 × 35 + 5	7

Remainder 5 is back after the 6th division → the 6 digits 142857 repeat: 0.142857.

Fraction 5/35 as a decimal is 0.(142857)

To convert 5/35 to a decimal, divide the numerator by the denominator: 5 ÷ 35 = 0.(142857).

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: 5/35 ≈ 14.29%.