Question

1. $9\frac{10}{20} - 1\frac{2}{4} = \underline{\quad} - \underline{\quad} = \underline{\quad} - \underline{\quad} = \underline{\quad} = \underline{\quad}$
2. $5\frac{1}{3} - 1\frac{4}{12} = \underline{\quad} - \underline{\quad} = \underline{\quad} - \underline{\quad} = \underline{\quad} = \underline{\quad}$
3. $3\frac{1}{2} + 9\frac{3}{6} = \underline{\quad} + \underline{\quad} = \underline{\quad} + \underline{\quad} = \underline{\quad} = \underline{\quad}$
4. $3\frac{1}{6} + 4\frac{1}{12} = \underline{\quad} + \underline{\quad} = \underline{\quad} + \underline{\quad} = \underline{\quad} = \underline{\quad}$
5. $9\frac{3}{5} + 4\frac{4}{10} = \underline{\quad} + \underline{\quad} = \underline{\quad} + \underline{\quad} = \underline{\quad} = \underline{\quad}$
6. $\frac{2}{3} + 1\frac{11}{18} = \underline{\quad} + \underline{\quad} = \underline{\quad} + \underline{\quad} = \underline{\quad} = \underline{\quad}$

Explanation:

Problem 5: $\boldsymbol{9\frac{10}{20} - 1\frac{2}{4}}$

Step 1: Simplify fractions

Simplify $\frac{10}{20}$ to $\frac{1}{2}$ and $\frac{2}{4}$ to $\frac{1}{2}$. So the problem becomes $9\frac{1}{2}-1\frac{1}{2}$.

Step 2: Subtract whole numbers and fractions

Subtract the whole numbers: $9 - 1 = 8$. Subtract the fractions: $\frac{1}{2}-\frac{1}{2}=0$. Combine them: $8 + 0 = 8$.

Step 1: Simplify fraction

Simplify $\frac{4}{12}$ to $\frac{1}{3}$. The problem is now $5\frac{1}{3}-1\frac{1}{3}$.

Step 2: Subtract whole numbers and fractions

Subtract whole numbers: $5 - 1 = 4$. Subtract fractions: $\frac{1}{3}-\frac{1}{3}=0$. Combine: $4+0 = 4$.

Step 1: Simplify fraction

Simplify $\frac{3}{6}$ to $\frac{1}{2}$. The problem becomes $3\frac{1}{2}+9\frac{1}{2}$.

Step 2: Add whole numbers and fractions

Add whole numbers: $3 + 9 = 12$. Add fractions: $\frac{1}{2}+\frac{1}{2}=1$. Combine: $12 + 1 = 13$.

Answer:

$9\frac{10}{20}-1\frac{2}{4}=9\frac{1}{2}-1\frac{1}{2}=8 + 0 = 8$

Problem 6: $\boldsymbol{5\frac{1}{3}-1\frac{4}{12}}$