Solve (5/6+11/4)*0.8-0.75

$$( \frac { 5 } { 6 } + 1 \frac { 1 } { 4 } ) \times 0.8 - 0.75$$

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\left(\frac{5}{6}+\frac{4+1}{4}\right)\times 0.8-0.75$$

Add 4 and 1 to get 5.

$$\left(\frac{5}{6}+\frac{5}{4}\right)\times 0.8-0.75$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{5}{4} to fractions with denominator 12.

$$\left(\frac{10}{12}+\frac{15}{12}\right)\times 0.8-0.75$$

Since \frac{10}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{10+15}{12}\times 0.8-0.75$$

Add 10 and 15 to get 25.

$$\frac{25}{12}\times 0.8-0.75$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{25}{12}\times \frac{4}{5}-0.75$$

Multiply \frac{25}{12} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 4}{12\times 5}-0.75$$

Do the multiplications in the fraction \frac{25\times 4}{12\times 5}.

$$\frac{100}{60}-0.75$$

Reduce the fraction \frac{100}{60} to lowest terms by extracting and canceling out 20.

$$\frac{5}{3}-0.75$$

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.

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

Least common multiple of 3 and 4 is 12. Convert \frac{5}{3} and \frac{3}{4} to fractions with denominator 12.

$$\frac{20}{12}-\frac{9}{12}$$

Since \frac{20}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-9}{12}$$

Subtract 9 from 20 to get 11.

$$\frac{11}{12}$$

Factor

$$\frac{11}{3 \cdot 2 ^ {2}} = 0.9166666666666666$$