Solve 8*3/2+3/2*5-3*1,5

$$8 \cdot \frac { 3 } { 2 } + \frac { 3 } { 2 } \cdot 5 - 3 \cdot 1,5$$

Evaluate

$$15$$

Solution Steps

Express 8\times \frac{3}{2} as a single fraction.

$$\frac{8\times 3}{2}+\frac{3}{2}\times 5-3\times 1,5$$

Multiply 8 and 3 to get 24.

$$\frac{24}{2}+\frac{3}{2}\times 5-3\times 1,5$$

Divide 24 by 2 to get 12.

$$12+\frac{3}{2}\times 5-3\times 1,5$$

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

$$12+\frac{3\times 5}{2}-3\times 1,5$$

Multiply 3 and 5 to get 15.

$$12+\frac{15}{2}-3\times 1,5$$

Convert 12 to fraction \frac{24}{2}.

$$\frac{24}{2}+\frac{15}{2}-3\times 1,5$$

Since \frac{24}{2} and \frac{15}{2} have the same denominator, add them by adding their numerators.

$$\frac{24+15}{2}-3\times 1,5$$

Add 24 and 15 to get 39.

$$\frac{39}{2}-3\times 1,5$$

Multiply 3 and 1,5 to get 4,5.

$$\frac{39}{2}-4,5$$

Convert decimal number 4,5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{39}{2}-\frac{9}{2}$$

Since \frac{39}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-9}{2}$$

Subtract 9 from 39 to get 30.

$$\frac{30}{2}$$

Divide 30 by 2 to get 15.

$$15$$

Factor

$$3\times 5$$