BEGIN {
	token[0] = 0
	ind = 0

	print calc("９－３÷１／３＋１")
	print calc("１／２÷３／４÷５／６×７／８×１０")
	print calc("（１＋５×（３＋２）－２）÷４")
	print calc("－１／１２－２／１２")
}

function gcd(m, n) {
	return (n ? gcd(n, m % n) : m)
}

function lcm(m, n) {
	return (m * n / gcd(m, n))
}

function setfrac(n, d,  fac, newn, newd) {
	if (n == 0){
		return 0
	}
	if (d == 0){
		return setfrac(n, 1)
	}

	fac = gcd(n, d)
	newn = n / fac
	newd = d / fac
	if (newd < 0){
		newn *= -1
		newd *= -1
	}

	return ((newd == 1) ? newn : (newn "/" newd))
}

function reciprocalfrac(f,  v) {
	split(f, v, "/")
	if (v[2] == 0){
		v[2] = 1
	}

	return setfrac(v[2], v[1])
}

function multifrac(mf, nf,  m, n) {
	split(mf, m, "/")
	if (m[2] == 0){
		m[2] = 1
	}
	split(nf, n, "/")
	if (n[2] == 0){
		n[2] = 1
	}

	return setfrac(m[1] * n[1], m[2] * n[2])
}

function divfrac(mf, nf) {
	if (nf == 0){
		print "error: division by 0"
		exit 1
	}

	return multifrac(mf, reciprocalfrac(nf))
}

function addfrac(mf, nf,  fac, m, n, newm, newn) {
	split(mf, m, "/")
	if (m[2] == 0){
		m[2] = 1
	}
	split(nf, n, "/")
	if (n[2] == 0){
		n[2] = 1
	}

	fac = lcm(m[2], n[2])
	newm = m[1] * fac / m[2]
	newn = n[1] * fac / n[2]

	return setfrac(newm + newn, fac)
}

function subfrac(mf, nf) {
	return addfrac(mf, multifrac(nf, -1))
}


function accept(x) {
	if (x == token[ind]){
		ind++
		return 1
	}

	return 0
}

function digit() {
	if (accept("０")){
		return 0
	}
	if (accept("１")){
		return 1
	}
	if (accept("２")){
		return 2
	}
	if (accept("３")){
		return 3
	}
	if (accept("４")){
		return 4
	}
	if (accept("５")){
		return 5
	}
	if (accept("６")){
		return 6
	}
	if (accept("７")){
		return 7
	}
	if (accept("８")){
		return 8
	}
	if (accept("９")){
		return 9
	}

	return (-1)
}

function digits( sign, n, v) {
	sign = 1
	if (accept("－")){
		sign = -1
	}

	n = digit()
	if (n < 0){
		print "error: expected digit"
		exit 1
	}

	while(1){
		v = digit()
		if (v < 0) break
		n = n * 10 + v
	}

	return setfrac(sign * n)
}

function factor( n) {
	if (accept("（")){
		n = expression()
		if (!accept("）")){
			print "error: unmatched brackets"
			exit 1
		}
		return n
	}

	return digits()
}

function term( n) {
	n = factor()
	while(1){
		if (accept("＊")){
			n = multifrac(n, factor())
			continue
		}
		if (accept("／")){
			n = divfrac(n, factor())
			continue
		}
		break
	}

	return n
}

function multi_exp( n) {
	n = term()
	while(1){
		if (accept("×")){
			n = multifrac(n, term())
			continue
		}
		if (accept("÷")){
			n = divfrac(n, term())
			continue
		}
		break
	}

	return n
}

function expression( n) {
	n = multi_exp()
	while(1){
		if (accept("＋")){
			n = addfrac(n, multi_exp())
			continue
		}
		if (accept("－")){
			n = subfrac(n, multi_exp())
			continue
		}
		break
	}

	return n
}

function trdigit(v) {
	if (v == "0"){
		return "０"
	}
	if (v == "1"){
		return "１"
	}
	if (v == "2"){
		return "２"
	}
	if (v == "3"){
		return "３"
	}
	if (v == "4"){
		return "４"
	}
	if (v == "5"){
		return "５"
	}
	if (v == "6"){
		return "６"
	}
	if (v == "7"){
		return "７"
	}
	if (v == "8"){
		return "８"
	}
	if (v == "9"){
		return "９"
	}
	if (v == "-"){
		return "－"
	}
	if (v == "/"){
		return "／"
	}
}

function fractostring(s,  i, n, v, r) {
	n = split(s, v, "")

	r = ""
	for(i = 1; i <= n; i++){
		r = r trdigit(v[i])
	}

	return r
}

function calc(s,  i, n) {
	n = split(s, token, "")
	token[n + 1] = "＄"
	ind = 1

	return fractostring(expression())
}