Solve 4,5*31/2-3:0,2

$$4,5 \cdot 3 \frac { 1 } { 2 } - 3 : 0,2$$

Evaluate

$$0,75$$

Solution Steps

Multiply 3 and 2 to get 6.

$$4,5\times \frac{6+1}{2}-\frac{3}{0,2}$$

Add 6 and 1 to get 7.

$$4,5\times \frac{7}{2}-\frac{3}{0,2}$$

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.

$$\frac{9}{2}\times \frac{7}{2}-\frac{3}{0,2}$$

Multiply \frac{9}{2} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 7}{2\times 2}-\frac{3}{0,2}$$

Do the multiplications in the fraction \frac{9\times 7}{2\times 2}.

$$\frac{63}{4}-\frac{3}{0,2}$$

Expand \frac{3}{0,2} by multiplying both numerator and the denominator by 10.

$$\frac{63}{4}-\frac{30}{2}$$

Divide 30 by 2 to get 15.

$$\frac{63}{4}-15$$

Convert 15 to fraction \frac{60}{4}.

$$\frac{63}{4}-\frac{60}{4}$$

Since \frac{63}{4} and \frac{60}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-60}{4}$$

Subtract 60 from 63 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$