These 10 problems practice dividing fractions and mixed numbers from standard 6.NS.A.1. They begin with bar models for simple quotients, then use reciprocals to divide fractions, whole numbers, and mixed numbers.
The last problems are word problems about ribbon, pizza, and a walking pace. Simplify every answer and check it with multiplication.
Problem 1: Halves and fourths
Find \(\frac{1}{2} : \frac{1}{4}\).
Problem 2: Whole number by a fraction
Find \(3 : \frac{1}{2}\).
Problem 3: Fraction by a whole number
Find \(\frac{4}{5} : 2\).
Problem 4: Fourths and eighths
Find \(\frac{7}{8} : \frac{1}{4}\). Write the answer as a mixed number.
Problem 5: Dividing two fractions
Find \(\frac{5}{6} : \frac{2}{3}\). Write the answer as a mixed number.
Problem 6: Mixed number by a fraction
Find \(1\frac{1}{2} : \frac{3}{4}\).
Problem 7: Two mixed numbers
Find \(2\frac{1}{4} : 1\frac{1}{2}\).
Problem 8: Ribbon bows
Jamal has \(4\frac{1}{2}\) yards of ribbon. Each bow uses \(\frac{3}{4}\) yard. How many bows can he make?
Problem 9: Sharing pizza
Four friends share \(\frac{2}{3}\) of a pizza equally. What fraction of the whole pizza does each friend get?
Problem 10: Walking rate
Diego walks \(3\frac{1}{2}\) miles in \(1\frac{1}{4}\) hours at a steady pace. (a) Find his speed in miles per hour. (b) At this pace, how long will it take him to walk 7 miles?
See every chapter on the Grade 6 math page.