Solve (300+22/7)(300+x)

$$( 300 + \frac { 22 } { 7 } ) ( 300 + x )$$

Evaluate

$$\frac{2122\left(x+300\right)}{7}$$

Solution Steps

Convert 300 to fraction \frac{2100}{7}.

$$\left(\frac{2100}{7}+\frac{22}{7}\right)\left(300+x\right)$$

Since \frac{2100}{7} and \frac{22}{7} have the same denominator, add them by adding their numerators.

$$\frac{2100+22}{7}\left(300+x\right)$$

Add 2100 and 22 to get 2122.

$$\frac{2122}{7}\left(300+x\right)$$

Use the distributive property to multiply \frac{2122}{7} by 300+x.

$$\frac{2122}{7}\times 300+\frac{2122}{7}x$$

Express \frac{2122}{7}\times 300 as a single fraction.

$$\frac{2122\times 300}{7}+\frac{2122}{7}x$$

Multiply 2122 and 300 to get 636600.

$$\frac{636600}{7}+\frac{2122}{7}x$$

Expand

$$\frac{2122x+636600}{7}$$

Solution Steps

Convert 300 to fraction \frac{2100}{7}.

$$\left(\frac{2100}{7}+\frac{22}{7}\right)\left(300+x\right)$$

Since \frac{2100}{7} and \frac{22}{7} have the same denominator, add them by adding their numerators.

$$\frac{2100+22}{7}\left(300+x\right)$$

Add 2100 and 22 to get 2122.

$$\frac{2122}{7}\left(300+x\right)$$

Use the distributive property to multiply \frac{2122}{7} by 300+x.

$$\frac{2122}{7}\times 300+\frac{2122}{7}x$$

Express \frac{2122}{7}\times 300 as a single fraction.

$$\frac{2122\times 300}{7}+\frac{2122}{7}x$$

Multiply 2122 and 300 to get 636600.

$$\frac{636600}{7}+\frac{2122}{7}x$$