To divide 724 by 3548, we start by performing the division:
724 ÷ 3548 = 0.2042 (approximately).
Next, to express this result as a fraction, we write it as:
724/3548.
Now, to reduce this fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the two numbers, 724 and 3548. We can use the Euclidean algorithm or simply factorize both numbers to find their GCD.
The prime factors of 724 are 2, 181 (since 724 = 2 × 362 = 2 × 2 × 181), and for 3548, the prime factors are 2, 19, and 47 (since 3548 = 2 × 1774 = 2 × 2 × 887 = 2 × 2 × 19 × 47).
The GCD of 724 and 3548 is 4. Now, we divide both the numerator and the denominator by 4:
724 ÷ 4 = 181
3548 ÷ 4 = 887
So, the fraction 724/3548 can be simplified to 181/887.
In conclusion, the quotient of 724 divided by 3548 reduced to the lowest fraction is:
181/887