Solve 134/25+0.59/(frac{3{4}-0.15):4}

$$\frac { 13 \frac { 4 } { 25 } + 0.59 } { ( \frac { 3 } { 4 } - 0.15 ) : 4 }$$

Evaluate

$$\frac{275}{3}\approx 91.666666667$$

Solution Steps

Multiply 13 and 25 to get 325.

$$\frac{\frac{325+4}{25}+0.59}{\frac{\frac{3}{4}-0.15}{4}}$$

Add 325 and 4 to get 329.

$$\frac{\frac{329}{25}+0.59}{\frac{\frac{3}{4}-0.15}{4}}$$

Convert decimal number 0.59 to fraction \frac{59}{100}.

$$\frac{\frac{329}{25}+\frac{59}{100}}{\frac{\frac{3}{4}-0.15}{4}}$$

Least common multiple of 25 and 100 is 100. Convert \frac{329}{25} and \frac{59}{100} to fractions with denominator 100.

$$\frac{\frac{1316}{100}+\frac{59}{100}}{\frac{\frac{3}{4}-0.15}{4}}$$

Since \frac{1316}{100} and \frac{59}{100} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1316+59}{100}}{\frac{\frac{3}{4}-0.15}{4}}$$

Add 1316 and 59 to get 1375.

$$\frac{\frac{1375}{100}}{\frac{\frac{3}{4}-0.15}{4}}$$

Reduce the fraction \frac{1375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{55}{4}}{\frac{\frac{3}{4}-0.15}{4}}$$

Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{55}{4}}{\frac{\frac{3}{4}-\frac{3}{20}}{4}}$$

Least common multiple of 4 and 20 is 20. Convert \frac{3}{4} and \frac{3}{20} to fractions with denominator 20.

$$\frac{\frac{55}{4}}{\frac{\frac{15}{20}-\frac{3}{20}}{4}}$$

Since \frac{15}{20} and \frac{3}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{55}{4}}{\frac{\frac{15-3}{20}}{4}}$$

Subtract 3 from 15 to get 12.

$$\frac{\frac{55}{4}}{\frac{\frac{12}{20}}{4}}$$

Reduce the fraction \frac{12}{20} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{55}{4}}{\frac{\frac{3}{5}}{4}}$$

Express \frac{\frac{3}{5}}{4} as a single fraction.

$$\frac{\frac{55}{4}}{\frac{3}{5\times 4}}$$

Multiply 5 and 4 to get 20.

$$\frac{\frac{55}{4}}{\frac{3}{20}}$$

Divide \frac{55}{4} by \frac{3}{20} by multiplying \frac{55}{4} by the reciprocal of \frac{3}{20}.

$$\frac{55}{4}\times \frac{20}{3}$$

Multiply \frac{55}{4} times \frac{20}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{55\times 20}{4\times 3}$$

Do the multiplications in the fraction \frac{55\times 20}{4\times 3}.

$$\frac{1100}{12}$$

Reduce the fraction \frac{1100}{12} to lowest terms by extracting and canceling out 4.

$$\frac{275}{3}$$

Factor

$$\frac{11 \cdot 5 ^ {2}}{3} = 91\frac{2}{3} = 91.66666666666667$$