Question

6 - m2 - tc - lesson 10
for problems 6-11, divide.

1. $2\div\frac{1}{4}$
2. $\frac{3}{4}\div\frac{1}{7}$
3. $3\frac{1}{4}\div\frac{1}{5}$

Explanation:

Step1: Rewrite as multiplication (Q6)

$2 \div \frac{1}{4} = 2 \times 4$

Step2: Calculate product (Q6)

$2 \times 4 = 8$

Step1: Rewrite as multiplication (Q8)

$\frac{3}{4} \div \frac{1}{7} = \frac{3}{4} \times 7$

Step2: Calculate product (Q8)

$\frac{3}{4} \times 7 = \frac{21}{4}$

Step1: Convert mixed number (Q10)

$3\frac{1}{4} = \frac{13}{4}$

Step2: Rewrite as multiplication (Q10)

$\frac{13}{4} \div \frac{1}{5} = \frac{13}{4} \times 5$

Step3: Calculate product (Q10)

$\frac{13}{4} \times 5 = \frac{65}{4}$

Answer:

1. $8$
2. $\frac{21}{4}$
3. $\frac{65}{4}$