5th Grade Fractions to mixed numbers (harder) Worksheets

Fifth graders work extensively with conversions between improper fractions and mixed numbers, equivalent fractions, and simplifying fractions (CCSS 5.NF). An improper fraction has a numerator greater than or equal to its denominator (7/4, 13/5). Converting to a mixed number means dividing the numerator by the denominator: 7 divided by 4 equals 1 remainder 3, so 7/4 equals 1 and 3/4. The reverse (mixed to improper) means multiplying the whole number by the denominator and adding the numerator: 2 and 3/4 equals (2 times 4 plus 3)/4 equals 11/4. These conversions are prerequisites for fraction addition and subtraction with mixed numbers. Simplifying fractions requires finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it. Equivalent fractions are generated by multiplying or dividing both the numerator and denominator by the same non-zero number. Worksheets that require all four conversions in the same set of problems, similar to a rotation drill, build fluency across all types.