Question

1. $7\frac{2}{9} \div \frac{4}{7}$
2. $18\frac{1}{4} \div 2\frac{4}{5}$
3. $62\frac{7}{10} \div 8\frac{8}{9}$
4. $\frac{11}{12} \div \frac{1}{3}$
5. $24\frac{3}{4} \div \frac{1}{2}$
6. $\frac{15}{16} \div \frac{1}{7}$
7. $14\frac{7}{8} \div \frac{5}{11}$
8. $53\frac{7}{12} \div 8\frac{11}{12}$
9. $1\frac{1}{6} \div \frac{1}{9}$

problem solving

1. estimate the number of pieces sharon will have if she divides $15\frac{1}{3}$ yards of fabric into $4\frac{1}{8}$-yard lengths.
2. estimate the number of $\frac{1}{2}$-quart containers ethan can fill from a container with $8\frac{7}{8}$ quarts of water.

Explanation:

Step1: Identify the operation

We need to estimate \(15\frac{1}{3}\div4\frac{1}{3}\). First, round the mixed numbers to the nearest whole number. \(15\frac{1}{3}\approx15\) and \(4\frac{1}{3}\approx4\).

Step2: Perform the division

Now, divide the rounded numbers: \(15\div4 = 3.75\approx4\) (or we can also round \(15\frac{1}{3}\) to 15 and \(4\frac{1}{3}\) to 4, and the division of 15 by 4 is approximately 4 when estimating).

Answer:

Approximately 4 pieces