Improper fractions and mixed numbers
Name: _____________________ Date: __________
Show your thinking with numbers, words, or a drawing.
1. Each bar is one whole. Write the shaded amount as an improper fraction.
2. Each bar is one whole. Write the shaded amount as an improper fraction.
3. Each bar is one whole. Write the shaded amount as an improper fraction.
4. Each bar is one whole. Write the shaded amount as an improper fraction.
5. Each bar is one whole. Write the shaded amount as an improper fraction.
Answer key · Improper fractions and mixed numbers
1. 9/4
Each whole bar has 4 quarters, so 2 whole bars are 2 × 4 = 8 quarters.
Add the 1 shaded quarter in the last bar: 8 + 1 = 9.
The shaded amount is 9/4
2. 27/8
Each whole bar has 8 eighths, so 3 whole bars are 3 × 8 = 24 eighths.
Add the 3 shaded eighths in the last bar: 24 + 3 = 27.
The shaded amount is 27/8
3. 7/2
Each whole bar has 2 halves, so 3 whole bars are 3 × 2 = 6 halves.
Add the 1 shaded half in the last bar: 6 + 1 = 7.
The shaded amount is 7/2
4. 15/4
Each whole bar has 4 quarters, so 3 whole bars are 3 × 4 = 12 quarters.
Add the 3 shaded quarters in the last bar: 12 + 3 = 15.
The shaded amount is 15/4
5. 21/8
Each whole bar has 8 eighths, so 2 whole bars are 2 × 8 = 16 eighths.
Add the 5 shaded eighths in the last bar: 16 + 5 = 21.
The shaded amount is 21/8
Try it together
Fold two equal strips of paper into different numbers of equal parts. Find two fractions that cover the same length.