17/24 as a Decimal

17/24 as a decimal is 0.708333…, with the 3 repeating forever (70.83% rounded).

Result

Answer

\frac{17}{24} = \textcolor{#0b5c56}{0.708\overline{3}}

17/24 as a decimal is 0.70833333333… – the digit 3 repeats forever.

  • Rounded to 2 places: 0.71
  • Rounded to 4 places: 0.7083
  • Percent: 70.8333%

71 of 100 squares ≈ 17/24

Step-by-step solution

The problem

\frac{17}{24}

  1. Divide 17 by 24 (long division). Write down how many times 24 goes in, carry the remainder, add a 0 and divide again. The remainder 8 came back, so the digits from decimal place 4 on repeat forever.

    StepDivideDigitRemainderWorking
    Whole part17 ÷ 2401724 × 0 = 0, 17 − 0 = 17
    Decimal place 1170 ÷ 247224 × 7 = 168, 170 − 168 = 2
    Decimal place 220 ÷ 2402024 × 0 = 0, 20 − 0 = 20
    Decimal place 3200 ÷ 248824 × 8 = 192, 200 − 192 = 8
    Decimal place 480 ÷ 243824 × 3 = 72, 80 − 72 = 8

  2. Read off the decimal. A bar over digits means they repeat forever.

    = 17 \div 24 = \textcolor{#0b5c56}{0.708\overline{3}}

All the working together

\begin{aligned} &\frac{17}{24} \\[8pt] &= 17 \div 24 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.708\overline{3}}\end{aligned}

17/24 in other forms

Decimal0.708333… (the 3 repeats forever)
Rounded0.71 (2 places), 0.708 (3 places)
Percent≈ 70.83%
Equivalent fractions34/48, 51/72, 68/96, 85/120

Why it repeats

In lowest terms the denominator is 24 = 23 × 3. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 3 repeats forever.

Fractions over 24 as decimals

FractionDecimalPercent
1/240.041666…≈ 4.17%
5/240.208333…≈ 20.83%
7/240.291666…≈ 29.17%
11/240.458333…≈ 45.83%
13/240.541666…≈ 54.17%
17/240.708333…≈ 70.83%
19/240.791666…≈ 79.17%
23/240.958333…≈ 95.83%

Frequently asked questions

What is 17/24 as a decimal?

17/24 as a decimal is 0.708333… (the 3 repeats forever). Divide 17 by 24 to get it.

What is 17/24 as a percent?

17/24 is ≈ 70.83%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 17/24 a terminating or a repeating decimal?

Repeating – the 3 repeats forever. In lowest terms the denominator is 24 = 23 × 3. It has the prime factor 3, which does not divide any power of 10, so the long division never ends: the 3 repeats forever.

More fractions as decimals

Any other fraction: use the Fraction to Decimal Calculator, or see every fraction to sixteenths on the printable fraction chart.