1.3 F) Mixed Numbers & Improper Fractions – Part 2
Improper fractions are top heavy fractions. We are able to convert improper fractions into mixed number by seeing how many wholes there are in the fraction. We do this by dividing the numerator by the denominator. The remainder of the division will be the numerator of the fraction that will be next to the whole number (the denominator of the fraction next to the whole number will be the same as it was before). This will all make more sense when we work through some examples.
What is the fraction below as a mixed number?
The first step in this question is to see how many wholes there are in the numerator. We do this by seeing how many times the denominator of the fraction fully goes into the numerator. Therefore, we are dividing 13 by 4, which gives us 3 wholes and a remainder of 1. The remainder becomes the numerator for the fraction part of the mixed number. Therefore, 13/4 as a mixed number is 3 ¼.
What is the fraction below as a mixed number?
The first step is to see how many wholes there are in the numerator, which we do by dividing the numerator by the denominator (33 ÷ 5). When we do this, we see that 5 goes into 33 6 full times and there is a remainder of 3 (the remainder will be the numerator for the fraction part of the mixed number). Therefore, this fraction as a mixed number is 6 3/5.
What is the fraction below as a mixed number?
Like before, we need to find out how many wholes there are. We do this by dividing the numerator by the denominator (89 ÷ 6). This gives us 14 wholes and a remainder of 5. Therefore, this fraction written as a mixed number is 14 5/6.