Solve 3*9/4-2*3/2+x=

$$3 \times \frac{ 9 }{ 4 } -2 \times \frac{ 3 }{ 2 } +x=$$

Evaluate

$$x = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

Solution Steps

Express 3\times \frac{9}{4} as a single fraction.

$$\frac{3\times 9}{4}-2\times \frac{3}{2}+x$$

Multiply 3 and 9 to get 27.

$$\frac{27}{4}-2\times \frac{3}{2}+x$$

Cancel out 2 and 2.

$$\frac{27}{4}-3+x$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{27}{4}-\frac{12}{4}+x$$

Since \frac{27}{4} and \frac{12}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-12}{4}+x$$

Subtract 12 from 27 to get 15.

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

Factor

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

Solution Steps

Factor out \frac{1}{4}.

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

Consider 27-12+4x. Multiply and combine like terms.

$$4x+15$$

Rewrite the complete factored expression.

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