This math chapter workbook on "Fractions and Mixed Numbers," reviews basic fraction concepts, such as simplifying and adding fractions, finding sums, and expressing answers as mixed numbers. Problem-solving activities and word problems are incorporated to help students apply their knowledge in real-world contexts, reinforcing their understanding and enhancing their computational fluency with fractions and mixed numbers.
To add fractions with different denominators, students should find a common denominator, convert the fractions, and then add the numerators. For example, to add 1/4 and 2/3, students find the least common denominator (12), adjust the fractions to 3/12 and 8/12, respectively, and then add to get 11/12. Converting improper fractions like 9/4 to mixed numbers involves dividing the numerator by the denominator to get 2 with a remainder of 1, resulting in 2 1/4. When multiplying a fraction by a whole number, such as 3 x 2/5, students multiply the whole number by the numerator (3 x 2), keeping the same denominator, which equals 6/5, or 1 1/5, as a mixed number. With these exercises, students can build a strong foundation in understanding and manipulating fractions and mixed numbers.