Multiply and simp $$ 3 \frac{1}{7} imes 14 $$

Question

Multiply and simp $$ 3 \frac{1}{7} 	imes 14 $$

UpStudy AI · Accepted Answer

To multiply and simplify $$ 3 \frac{1}{7} \times 14 $$, follow these steps:

1. **Convert the Mixed Number to an Improper Fraction**

A mixed number combines a whole number with a fraction. To convert $$ 3 \frac{1}{7} $$ to an improper fraction:

$$
   3 \frac{1}{7} = \left(3 \times 7\right) + 1 = 21 + 1 = 22
   $$
   
   So,

$$
   3 \frac{1}{7} = \frac{22}{7}
   $$

2. **Multiply the Improper Fraction by 14**

Now, multiply $$ \frac{22}{7} $$ by 14:

$$
   \frac{22}{7} \times 14 = \frac{22 \times 14}{7}
   $$

3. **Simplify the Multiplication**

You can simplify the multiplication before performing it by dividing 14 by 7:

$$
   \frac{22 \times 14}{7} = \frac{22 \times 2}{1} = 44
   $$

Alternatively,

$$
   \frac{22}{7} \times 14 = \frac{308}{7} = 44
   $$

4. **Final Answer**

$$
   3 \frac{1}{7} \times 14 = 44
   $$
$$ 3 \frac{1}{7} \times 14 = 44 $$

Multiply and simp \( 3 \frac{1}{7} \times 14 \)