Dividing Fractions: Grade 6 Math Test – PDF Download

Question 1: Dividing by a fraction (2 points)

1. Find \(\frac{3}{5} : \frac{1}{10}\). (1 point)
2. Find \(4 : \frac{2}{3}\). (1 point)

Question 2: Fraction quotients (2 points)

1. Find \(\frac{7}{8} : \frac{7}{4}\). (1 point)
2. Find \(\frac{3}{10} : 3\). (1 point)

Question 3: Mixed number quotients (2 points)

1. Find \(2\frac{1}{2} : \frac{5}{6}\). (1 point)
2. Find \(1\frac{3}{4} : 2\frac{1}{3}\). (1 point)

Question 4: Hair bows (3 points)

Sofia has \(3\frac{3}{4}\) feet of ribbon. Each hair bow uses \(\frac{5}{8}\) foot of ribbon. How many bows can she make? Show your work.

Question 5: Juice and lemonade (3 points)

1. Priya has \(\frac{2}{3}\) gallon of juice. She pours it into bottles that each hold \(\frac{1}{6}\) gallon. How many bottles does she fill? (2 points)
2. Aisha splits \(\frac{1}{2}\) gallon of lemonade equally among 3 pitchers. How much lemonade is in each pitcher? (1 point)

Question 6: Running pace (3 points)

Noah runs \(1\frac{1}{2}\) miles in \(\frac{3}{4}\) hour at a steady pace.

1. Find his speed in miles per hour. (2 points)
2. At this speed, how far does he run in \(2\frac{1}{2}\) hours? (1 point)

Question 7: Checking a quotient (3 points)

Liam says that \(\frac{1}{3} : 2 = 6\).

1. Explain Liam’s mistake and find the correct quotient. (2 points)
2. Use multiplication to check your quotient. (1 point)

Question 8: Garden length (2 points)

A rectangular garden has an area of \(\frac{3}{4}\) square yard and a width of \(\frac{1}{2}\) yard. Find the length of the garden.

See every chapter on the Grade 6 math page.