Solve (2.8div1.6)2-1/2/3frac{1{2}}

$$(2.8 \div 1.6) \frac{ 2- \frac{ 1 }{ 2 } }{ 3 \frac{ 1 }{ 2 } }$$

Evaluate

$$0.75$$

Solution Steps

Expand \frac{2.8}{1.6} by multiplying both numerator and the denominator by 10.

$$\frac{28}{16}\times \frac{2-\frac{1}{2}}{\frac{3\times 2+1}{2}}$$

Reduce the fraction \frac{28}{16} to lowest terms by extracting and canceling out 4.

$$\frac{7}{4}\times \frac{2-\frac{1}{2}}{\frac{3\times 2+1}{2}}$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{7}{4}\times \frac{\frac{4}{2}-\frac{1}{2}}{\frac{3\times 2+1}{2}}$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{4}\times \frac{\frac{4-1}{2}}{\frac{3\times 2+1}{2}}$$

Subtract 1 from 4 to get 3.

$$\frac{7}{4}\times \frac{\frac{3}{2}}{\frac{3\times 2+1}{2}}$$

Multiply 3 and 2 to get 6.

$$\frac{7}{4}\times \frac{\frac{3}{2}}{\frac{6+1}{2}}$$

Add 6 and 1 to get 7.

$$\frac{7}{4}\times \frac{\frac{3}{2}}{\frac{7}{2}}$$

Divide \frac{3}{2} by \frac{7}{2} by multiplying \frac{3}{2} by the reciprocal of \frac{7}{2}.

$$\frac{7}{4}\times \frac{3}{2}\times \frac{2}{7}$$

Multiply \frac{3}{2} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{4}\times \frac{3\times 2}{2\times 7}$$

Cancel out 2 in both numerator and denominator.

$$\frac{7}{4}\times \frac{3}{7}$$

Multiply \frac{7}{4} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{4\times 7}$$

Cancel out 7 in both numerator and denominator.

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

Factor

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