Solve (0.75+1/4)div2/5+1/2

$$(0.75+ \frac{ 1 }{ 4 } ) \div \frac{ 2 }{ 5 } + \frac{ 1 }{ 2 }$$

Evaluate

$$3$$

Solution Steps

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{3}{4}+\frac{1}{4}}{\frac{2}{5}}+\frac{1}{2}$$

Since \frac{3}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+1}{4}}{\frac{2}{5}}+\frac{1}{2}$$

Add 3 and 1 to get 4.

$$\frac{\frac{4}{4}}{\frac{2}{5}}+\frac{1}{2}$$

Divide 4 by 4 to get 1.

$$\frac{1}{\frac{2}{5}}+\frac{1}{2}$$

Divide 1 by \frac{2}{5} by multiplying 1 by the reciprocal of \frac{2}{5}.

$$1\times \frac{5}{2}+\frac{1}{2}$$

Multiply 1 and \frac{5}{2} to get \frac{5}{2}.

$$\frac{5}{2}+\frac{1}{2}$$

Since \frac{5}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{5+1}{2}$$

Add 5 and 1 to get 6.

$$\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$3$$

Factor

$$3$$