Mixed numbers

A number written with a whole part and a fractional part is a mixed number: 2 1/3 is read «two and one third» and means 2 + 1/3. To take the whole part out of an improper fraction, divide the numerator by the denominator with a remainder: the partial quotient is the whole part, the remainder is the numerator of the fractional part, and the denominator stays. For example, 17/5: 17 : 5 = 3 (remainder 2), so 17/5 = 3 2/5. To turn a mixed number into an improper fraction, multiply the whole part by the denominator, add the numerator and keep the denominator. For example, 4 3/7 = (4 · 7 + 3)/7 = 31/7.