Step 1: Factor both the numerator and denominator down to prime factors: <span>34 = 2 * 17 </span> 33 = 3 * 11
Step 2: Calculate the greatest common factor, GCF (also called greatest common divisor, GCD), by taking all the common prime factors of the numerator and denominator, by the lowest powers:<span>gcd(2 * 17; 3 * 11) = </span><span>1 </span> Fraction's numerator and denominator are coprime numbers (no common prime factors), so the fraction cannot be reduced (simplified).
Step 3: Improper fraction, rewrite:<span>34 : 33 = 1 and remainder = 1 => </span> 34/33<span> = </span>(1 * 33 + 1)<span> / </span>33<span> = 1 + </span>1/33<span> = 1 </span>1/33<span> as a </span>mixed number (also called mixed fraction).<span>1 + 1 : 33 = 1.030303030303 as a </span>decimal number.<span>::::: Final answer ::::: :: written in three ways ::
Positive improper fraction: 34/33 = 34/33
Mixed number (also called mixed fraction): 34/33 = 1 1/33
