Testinar Grade 5 math

Dividing Whole Numbers by Unit Fractions

Students will divide whole numbers by unit fractions using models and equations.

CH06-02 Fraction Division

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

What is \(5 \div \frac{1}{3}\)?
1. \(\frac{5}{3}\)
2. \(\frac{1}{15}\)
3. 15
4. 8
How many one-half cups are in 3 cups?
1. 9
2. 6
3. 3
4. 12
What is \(4 \div \frac{1}{4}\)?
1. 16
2. 1
3. 8
4. 4
A baker has 2 pounds of flour. She uses \(\frac{1}{4}\)-pound portions for each loaf. How many loaves can she make?
1. 4
2. 2
3. 6
4. 8
What is \(6 \div \frac{1}{2}\)?
1. 12
2. 3
3. 6
4. 18
How many one-third pizzas fit in 2 whole pizzas?
1. 8
2. 2
3. 3
4. 6
What is \(7 \div \frac{1}{4}\)?
1. 28
2. 14
3. 35
4. 21
A recipe calls for \(\frac{1}{3}\)-cup servings of sugar. How many servings are in 4 cups?
1. 4
2. 15
3. 8
4. 12

Teacher and parent reference

Answer key and explanations

C. 15
Dividing by \(\frac{1}{3}\) asks how many one-third pieces are in 5 wholes. Each whole has 3 thirds, so \(5 \div \frac{1}{3} = 5 \times 3 = 15\).
B. 6
\(3 \div \frac{1}{2} = 3 \times 2 = 6\). There are 6 half-cups in 3 cups.
A. 16
\(4 \div \frac{1}{4} = 4 \times 4 = 16\). Multiply the whole number by the denominator.
D. 8
\(2 \div \frac{1}{4} = 2 \times 4 = 8\). She can make 8 loaves.
A. 12
\(6 \div \frac{1}{2} = 6 \times 2 = 12\).
D. 6
\(2 \div \frac{1}{3} = 2 \times 3 = 6\). There are 6 one-third pizzas in 2 whole pizzas.
A. 28
\(7 \div \frac{1}{4} = 7 \times 4 = 28\).
D. 12
\(4 \div \frac{1}{3} = 4 \times 3 = 12\). There are 12 servings.