Solve (13/8+13/4-0.411)div0.59

$$(1 \frac{ 3 }{ 8 } +1 \frac{ 3 }{ 4 } -0.411) \div 0.59$$

Evaluate

$$4.6$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{\frac{8+3}{8}+\frac{1\times 4+3}{4}-0.411}{0.59}$$

Add 8 and 3 to get 11.

$$\frac{\frac{11}{8}+\frac{1\times 4+3}{4}-0.411}{0.59}$$

Multiply 1 and 4 to get 4.

$$\frac{\frac{11}{8}+\frac{4+3}{4}-0.411}{0.59}$$

Add 4 and 3 to get 7.

$$\frac{\frac{11}{8}+\frac{7}{4}-0.411}{0.59}$$

Least common multiple of 8 and 4 is 8. Convert \frac{11}{8} and \frac{7}{4} to fractions with denominator 8.

$$\frac{\frac{11}{8}+\frac{14}{8}-0.411}{0.59}$$

Since \frac{11}{8} and \frac{14}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{11+14}{8}-0.411}{0.59}$$

Add 11 and 14 to get 25.

$$\frac{\frac{25}{8}-0.411}{0.59}$$

Convert decimal number 0.411 to fraction \frac{411}{1000}.

$$\frac{\frac{25}{8}-\frac{411}{1000}}{0.59}$$

Least common multiple of 8 and 1000 is 1000. Convert \frac{25}{8} and \frac{411}{1000} to fractions with denominator 1000.

$$\frac{\frac{3125}{1000}-\frac{411}{1000}}{0.59}$$

Since \frac{3125}{1000} and \frac{411}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3125-411}{1000}}{0.59}$$

Subtract 411 from 3125 to get 2714.

$$\frac{\frac{2714}{1000}}{0.59}$$

Reduce the fraction \frac{2714}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1357}{500}}{0.59}$$

Express \frac{\frac{1357}{500}}{0.59} as a single fraction.

$$\frac{1357}{500\times 0.59}$$

Multiply 500 and 0.59 to get 295.

$$\frac{1357}{295}$$

Reduce the fraction \frac{1357}{295} to lowest terms by extracting and canceling out 59.

$$\frac{23}{5}$$

Factor

$$\frac{23}{5} = 4\frac{3}{5} = 4.6$$