Testinar Grade 5 math

Dividing Unit Fractions by Whole Numbers

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

CH06-01 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 \(\frac{1}{3} \div 4\)?
1. \(\frac{1}{12}\)
2. \(\frac{1}{6}\)
3. \(\frac{4}{3}\)
4. \(\frac{3}{4}\)
What is \(\frac{1}{2} \div 3\)?
1. \(\frac{3}{2}\)
2. \(\frac{1}{6}\)
3. \(\frac{2}{3}\)
4. \(\frac{1}{5}\)
What is \(\frac{1}{4} \div 2\)?
1. \(\frac{3}{8}\)
2. \(\frac{1}{2}\)
3. \(\frac{1}{8}\)
4. \(\frac{4}{2}\)
A pie is cut into 4 equal slices. One slice is shared equally among 2 friends. What fraction of the whole pie does each friend get?
1. \(\frac{1}{4}\)
2. \(\frac{1}{8}\)
3. \(\frac{1}{16}\)
4. \(\frac{1}{2}\)
What is \(\frac{1}{3} \div 4\)?
1. \(\frac{4}{3}\)
2. \(\frac{1}{12}\)
3. \(\frac{3}{4}\)
4. \(\frac{1}{7}\)
A baker divides \(\frac{1}{2}\) cup of flour equally into 4 portions. How much flour is in each portion?
1. \(\frac{1}{2}\) cup
2. \(\frac{1}{6}\) cup
3. \(\frac{4}{2}\) cups
4. \(\frac{1}{8}\) cup
The diagram shows a rectangle divided into equal parts. The shaded region is \(\frac{1}{5}\) of the rectangle. It is split equally into 3 smaller parts. What fraction of the whole rectangle is each small part?
1. \(\frac{1}{15}\)
2. \(\frac{1}{8}\)
3. \(\frac{3}{5}\)
4. \(\frac{1}{5}\)
A number line shows the interval from 0 to \(\frac{1}{4}\) marked as a single unit. This interval is divided into 2 equal parts. What number marks the first division?
1. \(\frac{1}{2}\)
2. \(\frac{1}{8}\)
3. \(\frac{1}{6}\)
4. \(\frac{1}{4}\)

Teacher and parent reference

Answer key and explanations

A. \(\frac{1}{12}\)
When you divide a unit fraction by a whole number, multiply by the reciprocal: \(\frac{1}{3} \div 4 = \frac{1}{3} \times \frac{1}{4} = \frac{1}{12}\).
B. \(\frac{1}{6}\)
\(\frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6}\).
C. \(\frac{1}{8}\)
Dividing by 2 splits the fraction in half: \(\frac{1}{4} \div 2 = \frac{1}{8}\).
B. \(\frac{1}{8}\)
One slice is \(\frac{1}{4}\) of the pie. Dividing it between 2 friends: \(\frac{1}{4} \div 2 = \frac{1}{8}\).
B. \(\frac{1}{12}\)
\(\frac{1}{3} \div 4 = \frac{1}{3} \times \frac{1}{4} = \frac{1}{12}\).
D. \(\frac{1}{8}\) cup
\(\frac{1}{2} \div 4 = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}\) cup.
A. \(\frac{1}{15}\)
\(\frac{1}{5} \div 3 = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15}\).
B. \(\frac{1}{8}\)
The point is halfway from 0 to \(\frac{1}{4}\). Half of \(\frac{1}{4}\) is \(\frac{1}{8}\), so the first division is \(\frac{1}{8}\).