Questions: Write 14/3 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Write 14/3 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Transcript text: Write $\frac{14}{3}$ as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Solution

Solution Steps

To convert the fraction \(\frac{14}{3}\) to a decimal, we need to perform the division of 14 by 3. If the division does not terminate, we will identify the repeating sequence of digits.

Step 1: Division of the Fraction

To convert the fraction \(\frac{14}{3}\) into a decimal, we perform the division: \[ 14 \div 3 = 4.666666666666667 \]

Step 2: Identifying the Repeating Decimal

The result of the division shows that the decimal representation is \(4.6666...\), where the digit \(6\) repeats indefinitely. We can express this as: \[ 4.\overline{6} \]

Final Answer

The decimal representation of \(\frac{14}{3}\) is \(\boxed{4.\overline{6}}\).

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where the road became a bridge over a dry riverbed, tangled with brush and clinging vines; the bridge of rustic logs, made for trysting, but virginal and untested by lovers; on up the road, past the buildings, with the southern verandas half-a-cityblock long, to the sudden forking, barren of buildings, birds, or grass, where the road turned off to the insane asylum. I always come this far and open my eyes. The spell breaks and I try to re-see the rabbits, so tame through having never been hunted, that played in the hedges and along the road. And I see the purple and silver of thistle growing between the broken glass and sunheated stones, the ants moving nervously in single file, and I turn and retrace my steps and come back to the winding road past the hospital, where at night in certain wards the gay student nurses dispensed a far more precious thing than pills to lucky boys in the know; and I come to a stop at the chapel. And then it is suddenly winter, with the moon high above and the chimes in the steeple ringing and a sonorous choir of trombones rendering a Christmas carol; and over all is a quietness and an ache as though all the world were loneliness. And I stand and listen beneath the high-hung moon, hearing "A Mighty Fortress Is Our God," majestically mellow on four trombones, and then the organ. The sound floats over all, clear like the night, liquid, serene, and lonely. And I stand as for an answer and see in my mind's eye the cabins surrounded by empty fields beyond red clay roads, and beyond a certain road a river, sluggish and covered with algae more yellow than green in its stagnant stillness; past more empty fields, to the sun-shrunk shacks at the railroad crossing where the disabled veterans visited the whores, hobbling down the tracks on crutches and canes; sometimes pushing the legless, thighless one in a red wheelchair. And sometimes I listen to hear if music reaches that far, but recall only the drunken laughter of sad, sad whores. And I stand in the circle where three roads

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