Solve (x+1/2)(3*5/2)

$$( x + \frac { 1 } { 2 } ) ( 3 \times \frac { 5 } { 2 } )$$

Evaluate

$$\frac{15x}{2}+\frac{15}{4}$$

Solution Steps

Express 3\times \frac{5}{2} as a single fraction.

$$\left(x+\frac{1}{2}\right)\times \frac{3\times 5}{2}$$

Multiply 3 and 5 to get 15.

$$\left(x+\frac{1}{2}\right)\times \frac{15}{2}$$

Use the distributive property to multiply x+\frac{1}{2} by \frac{15}{2}.

$$x\times \frac{15}{2}+\frac{1}{2}\times \frac{15}{2}$$

Multiply \frac{1}{2} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{15}{2}+\frac{1\times 15}{2\times 2}$$

Do the multiplications in the fraction \frac{1\times 15}{2\times 2}.

$$x\times \frac{15}{2}+\frac{15}{4}$$

Expand

$$\frac{15x}{2}+\frac{15}{4}$$

Solution Steps

Express 3\times \frac{5}{2} as a single fraction.

$$\left(x+\frac{1}{2}\right)\times \frac{3\times 5}{2}$$

Multiply 3 and 5 to get 15.

$$\left(x+\frac{1}{2}\right)\times \frac{15}{2}$$

Use the distributive property to multiply x+\frac{1}{2} by \frac{15}{2}.

$$x\times \frac{15}{2}+\frac{1}{2}\times \frac{15}{2}$$

Multiply \frac{1}{2} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{15}{2}+\frac{1\times 15}{2\times 2}$$

Do the multiplications in the fraction \frac{1\times 15}{2\times 2}.

$$x\times \frac{15}{2}+\frac{15}{4}$$