Subtract Mixed Numbers with Unlike Denominators Practice — Grade 5 math

Lesson 5: Subtract Mixed Numbers with Unlike Denominators — Practice Questions

1. Subtract the mixed numbers and simplify the result: $7 \frac{5}{6} - 3 \frac{1}{3} = \_\_\_$
2. A baker has a bag containing $9 \frac{7}{8}$ pounds of sugar. He uses $4 \frac{1}{4}$ pounds for a recipe. How much sugar is left? ___ pounds.
3. Find the value of the expression $10 \frac{2}{3} - 5 \frac{1}{9}$. Express your answer as a mixed number. $\_\_\_$
4. A ribbon is $8 \frac{7}{10}$ meters long. If a piece measuring $5 \frac{1}{2}$ meters is cut from it, what is the length of the remaining ribbon?
- A. $3 \frac{6}{8}$
- B. $3 \frac{3}{5}$
- C. $3 \frac{1}{5}$
- D. $3 \frac{6}{10}$
5. Calculate and write the answer as a mixed number: $12 \frac{3}{5} - 7 \frac{1}{4} = \_\_\_$
6. Calculate the difference: $5\frac{1}{3} - 2\frac{3}{4} = $ ___
7. To subtract $8\frac{1}{6} - 3\frac{5}{6}$, you must regroup. Which mixed number is equivalent to $8\frac{1}{6}$ after regrouping?
- A. $7\frac{7}{6}$
- B. $8\frac{7}{6}$
- C. $7\frac{1}{6}$
- D. $7\frac{5}{6}$
8. Subtract the mixed numbers: $9\frac{2}{5} - 4\frac{1}{2} = $ ___
9. When subtracting $6\frac{1}{4} - 2\frac{3}{8}$, why is regrouping necessary after finding a common denominator?
- A. Because the first fraction ($2/8$) is smaller than the second fraction ($3/8$).
- B. Because the whole numbers are different.
- C. Because the original denominators (4 and 8) are different.
- D. Because the answer will be a mixed number.
10. A recipe requires $4\frac{1}{4}$ cups of flour. If you only have $1\frac{2}{3}$ cups, how much more flour do you need? Give your answer as a mixed number. ___ cups.