Solve (11/5)(x+3/2)-9/10

$$(1 \frac{ 1 }{ 5 } )(x+ \frac{ 3 }{ 2 } )- \frac{ 9 }{ 10 }$$

Evaluate

$$\frac{6x}{5}+\frac{9}{10}$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+1}{5}\left(x+\frac{3}{2}\right)-\frac{9}{10}$$

Add 5 and 1 to get 6.

$$\frac{6}{5}\left(x+\frac{3}{2}\right)-\frac{9}{10}$$

Use the distributive property to multiply \frac{6}{5} by x+\frac{3}{2}.

$$\frac{6}{5}x+\frac{6}{5}\times \frac{3}{2}-\frac{9}{10}$$

Multiply \frac{6}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{5}x+\frac{6\times 3}{5\times 2}-\frac{9}{10}$$

Do the multiplications in the fraction \frac{6\times 3}{5\times 2}.

$$\frac{6}{5}x+\frac{18}{10}-\frac{9}{10}$$

Since \frac{18}{10} and \frac{9}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6}{5}x+\frac{18-9}{10}$$

Subtract 9 from 18 to get 9.

$$\frac{6}{5}x+\frac{9}{10}$$

Expand

$$\frac{6x}{5}+\frac{9}{10}$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+1}{5}\left(x+\frac{3}{2}\right)-\frac{9}{10}$$

Add 5 and 1 to get 6.

$$\frac{6}{5}\left(x+\frac{3}{2}\right)-\frac{9}{10}$$

Use the distributive property to multiply \frac{6}{5} by x+\frac{3}{2}.

$$\frac{6}{5}x+\frac{6}{5}\times \frac{3}{2}-\frac{9}{10}$$

Multiply \frac{6}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{5}x+\frac{6\times 3}{5\times 2}-\frac{9}{10}$$

Do the multiplications in the fraction \frac{6\times 3}{5\times 2}.

$$\frac{6}{5}x+\frac{18}{10}-\frac{9}{10}$$

Since \frac{18}{10} and \frac{9}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6}{5}x+\frac{18-9}{10}$$

Subtract 9 from 18 to get 9.

$$\frac{6}{5}x+\frac{9}{10}$$