6th grade Q1

To divide mixed numbers, you use the same steps as for proper fractions, with one exception:

First, you need to convert the mixed numbers into improper fractions.

So this is how you do it:

1. Change the mixed numbers you want to divide into improper fractions
2. Flip the second fraction
3. Multiply the fractions
4. Simplify the answer, and if needed, change it back to a mixed number

Example: $2\frac{1}{3}÷1\frac{1}{2}$

Step 1: Change to improper fractions

$2\frac{1}{3}\to \frac{3\times 2+1}{3}=\frac{7}{3}$

$1\frac{1}{2}\to \frac{2\times 1+2}{2}=\frac{3}{2}$

Which leaves you with: $2\frac{1}{3}÷1\frac{1}{2}=\frac{7}{3}÷\frac{3}{2}$

Step 2: Flip the second fraction

$\frac{3}{2}\text{ becomes }\frac{2}{3}$

Step 3: Multiply the fractions

You're left with two fractions: $\frac{7}{3}$ and $\frac{2}{3}$

Multiply the numerators: $7\times 2=14$

Multiply the denominators: $3\times 3=9$

So,

Step 4: Simplify or change back to a mixed number

$\frac{14}{9}$ can't be simplified because there are no common factors. The nominator is larger than the denominator, so you can write the fraction as a mixed number.

$\frac{14}{9}=1\frac{5}{9}$ because $14÷9=1\text{ with a remainder of }5$

Final Answer: $2\frac{1}{3}1÷1\frac{1}{2}=1\frac{5}{9}$